2502205344 has 60 divisors (see below), whose sum is σ = 7358924034. Its totient is φ = 834067584.

The previous prime is 2502205319. The next prime is 2502205357. The reversal of 2502205344 is 4435022052.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2008832400 + 493372944 = 44820^2 + 22212^2 .

It is a super-2 number, since 2×2502205344² = 12522063167084316672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 480087 + ... + 485270.

Almost surely, 2^2502205344 is an apocalyptic number.

2502205344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2502205344 is an abundant number, since it is smaller than the sum of its proper divisors (4856718690).

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

2502205344 is an equidigital number, since it uses as much as digits as its factorization.

2502205344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965379 (or 965362 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2502205344 is about 50022.0485786018. The cubic root of 2502205344 is about 1357.6077726469.

Adding to 2502205344 its reverse (4435022052), we get a palindrome (6937227396).

The spelling of 2502205344 in words is "two billion, five hundred two million, two hundred five thousand, three hundred forty-four".