2696840100864 has 2112 divisors, whose sum is σ = 10707237725184. Its totient is φ = 633782403072.

The previous prime is 2696840100827. The next prime is 2696840100869. The reversal of 2696840100864 is 4680010486962.

It is a self number, because there is not a number n which added to its sum of digits gives 2696840100864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2696840100869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32492049367 + ... + 32492049449.

It is an arithmetic number, because the mean of its divisors is an integer number (5069714832).

Almost surely, 2^{2696840100864} is an apocalyptic number.

2696840100864 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 2696840100864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353618862592).

2696840100864 is an abundant number, since it is smaller than the sum of its proper divisors (8010397624320).

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

2696840100864 is a wasteful number, since it uses less digits than its factorization.

2696840100864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 2696840100864 in words is "two trillion, six hundred ninety-six billion, eight hundred forty million, one hundred thousand, eight hundred sixty-four".