2263564600 has 48 divisors (see below), whose sum is σ = 5741228520. Its totient is φ = 823113600.

The previous prime is 2263564489. The next prime is 2263564621. The reversal of 2263564600 is 64653622.

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, 512247 + ... + 516646.

Almost surely, 2^2263564600 is an apocalyptic number.

2263564600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2263564600 is an abundant number, since it is smaller than the sum of its proper divisors (3477663920).

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

2263564600 is a wasteful number, since it uses less digits than its factorization.

2263564600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028920 (or 1028911 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 2263564600 is about 47576.9334867223. The cubic root of 2263564600 is about 1312.9987051185.

The spelling of 2263564600 in words is "two billion, two hundred sixty-three million, five hundred sixty-four thousand, six hundred".