2645907264 has 504 divisors, whose sum is σ = 10267687872. Its totient is φ = 632586240.

The previous prime is 2645907247. The next prime is 2645907289. The reversal of 2645907264 is 4627095462.

2645907264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7495312 + ... + 7495664.

Almost surely, 2^2645907264 is an apocalyptic number.

2645907264 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 2645907264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5133843936).

2645907264 is an abundant number, since it is smaller than the sum of its proper divisors (7621780608).

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

2645907264 is a wasteful number, since it uses less digits than its factorization.

2645907264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2645907264 is about 51438.3831783232. The cubic root of 2645907264 is about 1383.1147289473.

It can be divided in two parts, 2645 and 907264, that added together give a palindrome (909909).

The spelling of 2645907264 in words is "two billion, six hundred forty-five million, nine hundred seven thousand, two hundred sixty-four".