2252763264 has 64 divisors (see below), whose sum is σ = 6042104640. Its totient is φ = 743617536.

The previous prime is 2252763263. The next prime is 2252763281. The reversal of 2252763264 is 4623672522.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2252763263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11074 + ... + 68030.

It is an arithmetic number, because the mean of its divisors is an integer number (94407885).

Almost surely, 2^2252763264 is an apocalyptic number.

2252763264 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 2252763264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021052320).

2252763264 is an abundant number, since it is smaller than the sum of its proper divisors (3789341376).

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

2252763264 is a wasteful number, since it uses less digits than its factorization.

2252763264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57077 (or 57065 counting only the distinct ones).

The product of its digits is 241920, while the sum is 39.

The square root of 2252763264 is about 47463.2833251135. The cubic root of 2252763264 is about 1310.9069073100.

The spelling of 2252763264 in words is "two billion, two hundred fifty-two million, seven hundred sixty-three thousand, two hundred sixty-four".