2505021264 has 120 divisors (see below), whose sum is σ = 7745879232. Its totient is φ = 751703040.

The previous prime is 2505021221. The next prime is 2505021271. The reversal of 2505021264 is 4621205052.

2505021264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34059 + ... + 78549.

Almost surely, 2^2505021264 is an apocalyptic number.

2505021264 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 2505021264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872939616).

2505021264 is an abundant number, since it is smaller than the sum of its proper divisors (5240857968).

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

2505021264 is a wasteful number, since it uses less digits than its factorization.

2505021264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44545 (or 44536 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2505021264 is about 50050.1874521964. The cubic root of 2505021264 is about 1358.1168544605.

The spelling of 2505021264 in words is "two billion, five hundred five million, twenty-one thousand, two hundred sixty-four".