2651090980032 has 672 divisors, whose sum is σ = 8904178483200. Its totient is φ = 774806860800.

The previous prime is 2651090980019. The next prime is 2651090980067. The reversal of 2651090980032 is 2300890901562.

2651090980032 is a `hidden beast` number, since 26 + 510 + 9 + 0 + 9 + 80 + 0 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2651090980032.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2009924269 + ... + 2009925587.

It is an arithmetic number, because the mean of its divisors is an integer number (13250265600).

Almost surely, 2^{2651090980032} is an apocalyptic number.

2651090980032 is a gapful number since it is divisible by the number (22) 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 2651090980032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452089241600).

2651090980032 is an abundant number, since it is smaller than the sum of its proper divisors (6253087503168).

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

2651090980032 is a wasteful number, since it uses less digits than its factorization.

2651090980032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 2651090980032 in words is "two trillion, six hundred fifty-one billion, ninety million, nine hundred eighty thousand, thirty-two".