2265914304 has 224 divisors, whose sum is σ = 6973824000. Its totient is φ = 720534528.

The previous prime is 2265914267. The next prime is 2265914311. The reversal of 2265914304 is 4034195622.

It is a happy number.

2265914304 is a `hidden beast` number, since 2 + 26 + 591 + 43 + 0 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5161317 + ... + 5161755.

Almost surely, 2^2265914304 is an apocalyptic number.

2265914304 is a gapful number since it is divisible by the number (24) 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 2265914304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486912000).

2265914304 is an abundant number, since it is smaller than the sum of its proper divisors (4707909696).

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

2265914304 is a wasteful number, since it uses less digits than its factorization.

2265914304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2265914304 is about 47601.6208127412. The cubic root of 2265914304 is about 1313.4528695227.

It can be divided in two parts, 22659 and 14304, that added together give a palindrome (36963).

The spelling of 2265914304 in words is "two billion, two hundred sixty-five million, nine hundred fourteen thousand, three hundred four".