2265514700904 has 720 divisors, whose sum is σ = 7972863034500. Its totient is φ = 577673026560.

The previous prime is 2265514700857. The next prime is 2265514700929. The reversal of 2265514700904 is 4090074155622.

2265514700904 is a `hidden beast` number, since 2 + 2 + 6 + 551 + 4 + 7 + 0 + 0 + 90 + 4 = 666.

2265514700904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2261444516100 + 4070184804 = 1503810^2 + 63798^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2265514700904.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2159689372 + ... + 2159690420.

Almost surely, 2^{2265514700904} is an apocalyptic number.

2265514700904 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 2265514700904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3986431517250).

2265514700904 is an abundant number, since it is smaller than the sum of its proper divisors (5707348333596).

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

2265514700904 is a wasteful number, since it uses less digits than its factorization.

2265514700904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 2265514700904 in words is "two trillion, two hundred sixty-five billion, five hundred fourteen million, seven hundred thousand, nine hundred four".