2253120264 has 48 divisors (see below), whose sum is σ = 6105734700. Its totient is φ = 750605184.

The previous prime is 2253120257. The next prime is 2253120271. The reversal of 2253120264 is 4620213522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2253120257) and next prime (2253120271).

It can be written as a sum of positive squares in 2 ways, for example, as 2238236100 + 14884164 = 47310^2 + 3858^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131082 + ... + 147270.

Almost surely, 2^2253120264 is an apocalyptic number.

2253120264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2253120264 is an abundant number, since it is smaller than the sum of its proper divisors (3852614436).

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

2253120264 is a wasteful number, since it uses less digits than its factorization.

2253120264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18134 (or 18127 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2253120264 is about 47467.0439779011. The cubic root of 2253120264 is about 1310.9761510183.

Adding to 2253120264 its reverse (4620213522), we get a palindrome (6873333786).

The spelling of 2253120264 in words is "two billion, two hundred fifty-three million, one hundred twenty thousand, two hundred sixty-four".