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2990690880 = 26354175983
BaseRepresentation
bin1011001001000010…
…0101001001000000
321201102111211121220
42302100211021000
522111104102010
61212432515040
7134053311252
oct26220451100
97642454556
102990690880
1112a5192361
126b56aba80
133887a5298
142052a1cd2
15127855970
hexb2425240

2990690880 has 112 divisors (see below), whose sum is σ = 9727167744. Its totient is φ = 778055680.

The previous prime is 2990690873. The next prime is 2990690891. The reversal of 2990690880 is 880960992.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1369 + ... + 77351.

It is an arithmetic number, because the mean of its divisors is an integer number (86849712).

Almost surely, 22990690880 is an apocalyptic number.

2990690880 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 2990690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4863583872).

2990690880 is an abundant number, since it is smaller than the sum of its proper divisors (6736476864).

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

2990690880 is a wasteful number, since it uses less digits than its factorization.

2990690880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76044 (or 76034 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The square root of 2990690880 is about 54687.2094735140. The cubic root of 2990690880 is about 1440.7562385824.

It can be divided in two parts, 29906 and 90880, that added together give a triangular number (120786 = T491).

The spelling of 2990690880 in words is "two billion, nine hundred ninety million, six hundred ninety thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 160 164 192 205 240 246 320 328 410 480 492 615 656 820 960 984 1230 1312 1640 1968 2460 2624 3280 3936 4920 6560 7872 9840 13120 19680 39360 75983 151966 227949 303932 379915 455898 607864 759830 911796 1139745 1215728 1519660 1823592 2279490 2431456 3039320 3115303 3647184 4558980 4862912 6078640 6230606 7294368 9117960 9345909 12157280 12461212 14588736 15576515 18235920 18691818 24314560 24922424 31153030 36471840 37383636 46729545 49844848 62306060 72943680 74767272 93459090 99689696 124612120 149534544 186918180 199379392 249224240 299069088 373836360 498448480 598138176 747672720 996896960 1495345440 2990690880