2253840800 has 72 divisors (see below), whose sum is σ = 5791816800. Its totient is φ = 854081280.

The previous prime is 2253840791. The next prime is 2253840803. The reversal of 2253840800 is 80483522.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2253840803) by changing a digit.

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, 58940 + ... + 89339.

It is an arithmetic number, because the mean of its divisors is an integer number (80441900).

Almost surely, 2^2253840800 is an apocalyptic number.

2253840800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2253840800 is an abundant number, since it is smaller than the sum of its proper divisors (3537976000).

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

2253840800 is a wasteful number, since it uses less digits than its factorization.

2253840800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148318 (or 148305 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 2253840800 is about 47474.6332265980. The cubic root of 2253840800 is about 1311.1158838815.

The spelling of 2253840800 in words is "two billion, two hundred fifty-three million, eight hundred forty thousand, eight hundred".