2265520464 has 60 divisors (see below), whose sum is σ = 6373240276. Its totient is φ = 751251456.

The previous prime is 2265520427. The next prime is 2265520507. The reversal of 2265520464 is 4640255622.

It can be written as a sum of positive squares in 2 ways, for example, as 223203600 + 2042316864 = 14940^2 + 45192^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12967 + ... + 68550.

Almost surely, 2^2265520464 is an apocalyptic number.

2265520464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2265520464 is an abundant number, since it is smaller than the sum of its proper divisors (4107719812).

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

2265520464 is a wasteful number, since it uses less digits than its factorization.

2265520464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81724 (or 81715 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2265520464 is about 47597.4837990413. The cubic root of 2265520464 is about 1313.3767677551.

It can be divided in two parts, 2265 and 520464, that added together give a square (522729 = 723²).

The spelling of 2265520464 in words is "two billion, two hundred sixty-five million, five hundred twenty thousand, four hundred sixty-four".