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2678106740880 = 2435173541185371
BaseRepresentation
bin100110111110001011100…
…110011101100010010000
3100111000122212022110012010
4212332023212131202100
5322334230311202010
65410145533502520
7364325660461554
oct46761346354220
910430585273163
102678106740880
119428624898aa
12373050641a40
131657100130cc
149389a27b864
15499e4edd620
hex26f8b99d890

2678106740880 has 160 divisors (see below), whose sum is σ = 8793021460608. Its totient is φ = 671958835200.

The previous prime is 2678106740873. The next prime is 2678106740893. The reversal of 2678106740880 is 880476018762.

It is a happy number.

2678106740880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2678106740880.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14354595 + ... + 14539965.

Almost surely, 22678106740880 is an apocalyptic number.

2678106740880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2678106740880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4396510730304).

2678106740880 is an abundant number, since it is smaller than the sum of its proper divisors (6114914719728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2678106740880 is a wasteful number, since it uses less digits than its factorization.

2678106740880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188945 (or 188939 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 57.

The spelling of 2678106740880 in words is "two trillion, six hundred seventy-eight billion, one hundred six million, seven hundred forty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 3541 4080 7082 10623 14164 17705 21246 28328 35410 42492 53115 56656 60197 70820 84984 106230 120394 141640 169968 180591 185371 212460 240788 283280 300985 361182 370742 424920 481576 556113 601970 722364 741484 849840 902955 926855 963152 1112226 1203940 1444728 1482968 1805910 1853710 2224452 2407880 2780565 2889456 2965936 3151307 3611820 3707420 4448904 4815760 5561130 6302614 7223640 7414840 8897808 9453921 11122260 12605228 14447280 14829680 15756535 18907842 22244520 25210456 31513070 37815684 44489040 47269605 50420912 63026140 75631368 94539210 126052280 151262736 189078420 252104560 378156840 656398711 756313680 1312797422 1969196133 2625594844 3281993555 3938392266 5251189688 6563987110 7876784532 9845980665 10502379376 11158778087 13127974220 15753569064 19691961330 22317556174 26255948440 31507138128 33476334261 39383922660 44635112348 52511896880 55793890435 66952668522 78767845320 89270224696 111587780870 133905337044 157535690640 167381671305 178540449392 223175561740 267810674088 334763342610 446351123480 535621348176 669526685220 892702246960 1339053370440 2678106740880