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2960490624 = 2737413219
BaseRepresentation
bin1011000001110101…
…1000000010000000
321122022200111122220
42300131120002000
522030341144444
61205433331040
7133235520000
oct26035300200
97568614586
102960490624
11128a135473
126a7566a80
13382460100
14201280000
15124d8c619
hexb0758080

2960490624 has 480 divisors, whose sum is σ = 10456693200. Its totient is φ = 739694592.

The previous prime is 2960490521. The next prime is 2960490647. The reversal of 2960490624 is 4260940692.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 155815287 + ... + 155815305.

Almost surely, 22960490624 is an apocalyptic number.

2960490624 is a gapful number since it is divisible by the number (24) 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 2960490624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228346600).

2960490624 is an abundant number, since it is smaller than the sum of its proper divisors (7496202576).

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

2960490624 is an equidigital number, since it uses as much as digits as its factorization.

2960490624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 2960490624 is about 54410.3907723516. The cubic root of 2960490624 is about 1435.8901952284.

The spelling of 2960490624 in words is "two billion, nine hundred sixty million, four hundred ninety thousand, six hundred twenty-four".