2696130857664 has 560 divisors, whose sum is σ = 8449751236608. Its totient is φ = 848369313792.

The previous prime is 2696130857597. The next prime is 2696130857671. The reversal of 2696130857664 is 4667580316962.

2696130857664 is a `hidden beast` number, since 2 + 6 + 9 + 613 + 0 + 8 + 5 + 7 + 6 + 6 + 4 = 666.

2696130857664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3982467694 + ... + 3982468370.

It is a 1-persistent number, because it is pandigital, but 2⋅2696130857664 = 5392261715328 is not.

Almost surely, 2^{2696130857664} is an apocalyptic number.

2696130857664 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 2696130857664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4224875618304).

2696130857664 is an abundant number, since it is smaller than the sum of its proper divisors (5753620378944).

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

2696130857664 is a wasteful number, since it uses less digits than its factorization.

2696130857664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 2696130857664 in words is "two trillion, six hundred ninety-six billion, one hundred thirty million, eight hundred fifty-seven thousand, six hundred sixty-four".