2262234400 has 36 divisors (see below), whose sum is σ = 5522681682. Its totient is φ = 904893440.

The previous prime is 2262234397. The next prime is 2262234419. The reversal of 2262234400 is 44322622.

It can be written as a sum of positive squares in 3 ways, for example, as 1126005136 + 1136229264 = 33556^2 + 33708^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1413097 + ... + 1414696.

Almost surely, 2^2262234400 is an apocalyptic number.

2262234400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2262234400 is an abundant number, since it is smaller than the sum of its proper divisors (3260447282).

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

2262234400 is a wasteful number, since it uses less digits than its factorization.

2262234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827813 (or 2827800 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 2262234400 is about 47562.9519689432. The cubic root of 2262234400 is about 1312.7414570132.

The spelling of 2262234400 in words is "two billion, two hundred sixty-two million, two hundred thirty-four thousand, four hundred".