2651960361888 has 384 divisors, whose sum is σ = 8413474406400. Its totient is φ = 809593574400.

The previous prime is 2651960361767. The next prime is 2651960361901. The reversal of 2651960361888 is 8881630691562.

2651960361888 is a `hidden beast` number, since 2 + 6 + 5 + 1 + 9 + 6 + 0 + 3 + 618 + 8 + 8 = 666.

It is a super-2 number, since 2×2651960361888² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 622377678 + ... + 622381938.

It is an arithmetic number, because the mean of its divisors is an integer number (21910089600).

Almost surely, 2^{2651960361888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2651960361888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206737203200).

2651960361888 is an abundant number, since it is smaller than the sum of its proper divisors (5761514044512).

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

2651960361888 is a wasteful number, since it uses less digits than its factorization.

2651960361888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5553 (or 5539 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 2651960361888 in words is "two trillion, six hundred fifty-one billion, nine hundred sixty million, three hundred sixty-one thousand, eight hundred eighty-eight".