2253396800 has 42 divisors (see below), whose sum is σ = 5544768438. Its totient is φ = 901358080.

The previous prime is 2253396763. The next prime is 2253396809. The reversal of 2253396800 is 86933522.

It can be written as a sum of positive squares in 3 ways, for example, as 565504 + 2252831296 = 752^2 + 47464^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253396809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 702587 + ... + 705786.

Almost surely, 2^2253396800 is an apocalyptic number.

2253396800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2253396800 is an abundant number, since it is smaller than the sum of its proper divisors (3291371638).

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

2253396800 is a wasteful number, since it uses less digits than its factorization.

2253396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408395 (or 1408380 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 2253396800 is about 47469.9568148108. The cubic root of 2253396800 is about 1311.0297829047.

The spelling of 2253396800 in words is "two billion, two hundred fifty-three million, three hundred ninety-six thousand, eight hundred".