2252683600 has 60 divisors (see below), whose sum is σ = 5730446844. Its totient is φ = 848066560.

The previous prime is 2252683597. The next prime is 2252683619. The reversal of 2252683600 is 63862522.

It can be written as a sum of positive squares in 6 ways, for example, as 10471696 + 2242211904 = 3236^2 + 47352^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158839 + ... + 172438.

Almost surely, 2^2252683600 is an apocalyptic number.

2252683600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252683600 is an abundant number, since it is smaller than the sum of its proper divisors (3477763244).

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

2252683600 is a wasteful number, since it uses less digits than its factorization.

2252683600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331312 (or 331301 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 2252683600 is about 47462.4441005728. Note that the first 3 decimals coincide. The cubic root of 2252683600 is about 1310.8914546849.

The spelling of 2252683600 in words is "two billion, two hundred fifty-two million, six hundred eighty-three thousand, six hundred".