2253584304 has 60 divisors (see below), whose sum is σ = 6395764752. Its totient is φ = 740611200.

The previous prime is 2253584293. The next prime is 2253584309. The reversal of 2253584304 is 4034853522.

2253584304 is a `hidden beast` number, since 22 + 53 + 584 + 3 + 0 + 4 = 666.

2253584304 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2253584309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99987 + ... + 120434.

Almost surely, 2^2253584304 is an apocalyptic number.

2253584304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2253584304 is an abundant number, since it is smaller than the sum of its proper divisors (4142180448).

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

2253584304 is a wasteful number, since it uses less digits than its factorization.

2253584304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220506 (or 220497 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2253584304 is about 47471.9317491926. The cubic root of 2253584304 is about 1311.0661452697.

The spelling of 2253584304 in words is "two billion, two hundred fifty-three million, five hundred eighty-four thousand, three hundred four".