2264604400 has 60 divisors (see below), whose sum is σ = 5446948000. Its totient is φ = 904803840.

The previous prime is 2264604371. The next prime is 2264604409. The reversal of 2264604400 is 44064622.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264604409) 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, 412876 + ... + 418324.

Almost surely, 2^2264604400 is an apocalyptic number.

2264604400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2264604400 is an abundant number, since it is smaller than the sum of its proper divisors (3182343600).

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

2264604400 is a wasteful number, since it uses less digits than its factorization.

2264604400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6506 (or 6495 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 2264604400 is about 47587.8597963808. The cubic root of 2264604400 is about 1313.1997224368.

It can be divided in two parts, 226460 and 4400, that added together give a triangular number (230860 = T₆₇₉).

The spelling of 2264604400 in words is "two billion, two hundred sixty-four million, six hundred four thousand, four hundred".