2264371200 has 936 divisors, whose sum is σ = 10351851328. Its totient is φ = 477757440.

The previous prime is 2264371181. The next prime is 2264371267. The reversal of 2264371200 is 21734622.

2264371200 is a `hidden beast` number, since 2 + 2 + 643 + 7 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 174182394 + ... + 174182406.

Almost surely, 2^2264371200 is an apocalyptic number.

2264371200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2264371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5175925664).

2264371200 is an abundant number, since it is smaller than the sum of its proper divisors (8087480128).

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

2264371200 is an equidigital number, since it uses as much as digits as its factorization.

2264371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2264371200 is about 47585.4095285519. The cubic root of 2264371200 is about 1313.1546448525.

The spelling of 2264371200 in words is "two billion, two hundred sixty-four million, three hundred seventy-one thousand, two hundred".