2253633516 has 96 divisors (see below), whose sum is σ = 5997611200. Its totient is φ = 740710656.

The previous prime is 2253633469. The next prime is 2253633523. The reversal of 2253633516 is 6153363522.

2253633516 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 633 + 5 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636840 + ... + 640368.

Almost surely, 2^2253633516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253633516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998805600).

2253633516 is an abundant number, since it is smaller than the sum of its proper divisors (3743977684).

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

2253633516 is an equidigital number, since it uses as much as digits as its factorization.

2253633516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3627 (or 3607 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

The square root of 2253633516 is about 47472.4500737006. The cubic root of 2253633516 is about 1311.0756885437.

The spelling of 2253633516 in words is "two billion, two hundred fifty-three million, six hundred thirty-three thousand, five hundred sixteen".