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2990676640 = 25573186137
BaseRepresentation
bin1011001001000010…
…0001101010100000
321201102111010002111
42302100201222200
522111103123030
61212432325104
7134053221610
oct26220415240
97642433074
102990676640
1112a5182696
126b56a3794
1338879b963
1420529aa40
1512785162a
hexb2421aa0

2990676640 has 96 divisors (see below), whose sum is σ = 8335401984. Its totient is φ = 992286720.

The previous prime is 2990676631. The next prime is 2990676641. The reversal of 2990676640 is 466760992.

It is not an unprimeable number, because it can be changed into a prime (2990676641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8349 + ... + 77788.

It is an arithmetic number, because the mean of its divisors is an integer number (86827104).

Almost surely, 22990676640 is an apocalyptic number.

2990676640 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 2990676640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167700992).

2990676640 is an abundant number, since it is smaller than the sum of its proper divisors (5344725344).

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

2990676640 is a wasteful number, since it uses less digits than its factorization.

2990676640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86190 (or 86182 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

The square root of 2990676640 is about 54687.0792783817. The cubic root of 2990676640 is about 1440.7539518865.

The spelling of 2990676640 in words is "two billion, nine hundred ninety million, six hundred seventy-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 248 280 310 434 496 560 620 868 992 1085 1120 1240 1736 2170 2480 3472 4340 4960 6944 8680 17360 34720 86137 172274 344548 430685 602959 689096 861370 1205918 1378192 1722740 2411836 2670247 2756384 3014795 3445480 4823672 5340494 6029590 6890960 9647344 10680988 12059180 13351235 13781920 18691729 19294688 21361976 24118360 26702470 37383458 42723952 48236720 53404940 74766916 85447904 93458645 96473440 106809880 149533832 186917290 213619760 299067664 373834580 427239520 598135328 747669160 1495338320 2990676640