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2730412440 = 2332571083497
BaseRepresentation
bin1010001010111110…
…1100100110011000
321001021202022201200
42202233230212120
521042441144230
61130534114200
7124443060060
oct24257544630
97037668650
102730412440
111181279308
126424ab960
133468a4382
141bc8ac3a0
1510ea91160
hexa2bec998

2730412440 has 96 divisors (see below), whose sum is σ = 10141541280. Its totient is φ = 624093696.

The previous prime is 2730412429. The next prime is 2730412441. The reversal of 2730412440 is 442140372.

2730412440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×27304124404 (a number of 39 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2730412441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 539229 + ... + 544268.

It is an arithmetic number, because the mean of its divisors is an integer number (105641055).

Almost surely, 22730412440 is an apocalyptic number.

2730412440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2730412440 is an abundant number, since it is smaller than the sum of its proper divisors (7411128840).

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

2730412440 is a wasteful number, since it uses less digits than its factorization.

2730412440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083521 (or 1083514 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2730412440 is about 52253.3486008313. The cubic root of 2730412440 is about 1397.6853657769.

The spelling of 2730412440 in words is "two billion, seven hundred thirty million, four hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 1083497 2166994 3250491 4333988 5417485 6500982 7584479 8667976 9751473 10834970 13001964 15168958 16252455 19502946 21669940 22753437 26003928 30337916 32504910 37922395 39005892 43339880 45506874 48757365 60675832 65009820 68260311 75844790 78011784 91013748 97514730 113767185 130019640 136520622 151689580 182027496 195029460 227534370 273041244 303379160 341301555 390058920 455068740 546082488 682603110 910137480 1365206220 2730412440