2635262601664 has 112 divisors (see below), whose sum is σ = 6528539485440. Its totient is φ = 1025334927360.

The previous prime is 2635262601599. The next prime is 2635262601733. The reversal of 2635262601664 is 4661062625362.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3279984 + ... + 4003600.

It is an arithmetic number, because the mean of its divisors is an integer number (58290531120).

Almost surely, 2^{2635262601664} 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 2635262601664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264269742720).

2635262601664 is an abundant number, since it is smaller than the sum of its proper divisors (3893276883776).

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

2635262601664 is a wasteful number, since it uses less digits than its factorization.

2635262601664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724386 (or 724376 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 49.

The spelling of 2635262601664 in words is "two trillion, six hundred thirty-five billion, two hundred sixty-two million, six hundred one thousand, six hundred sixty-four".