2265259920 has 160 divisors (see below), whose sum is σ = 8755153920. Its totient is φ = 470699520.

The previous prime is 2265259897. The next prime is 2265259943. The reversal of 2265259920 is 299525622.

It is an interprime number because it is at equal distance from previous prime (2265259897) and next prime (2265259943).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42810 + ... + 79769.

It is an arithmetic number, because the mean of its divisors is an integer number (54719712).

Almost surely, 2^2265259920 is an apocalyptic number.

2265259920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2265259920 is an abundant number, since it is smaller than the sum of its proper divisors (6489894000).

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

2265259920 is a wasteful number, since it uses less digits than its factorization.

2265259920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122613 (or 122607 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 2265259920 is about 47594.7467689450. The cubic root of 2265259920 is about 1313.3264179480.

It can be divided in two parts, 226 and 5259920, that added together give a triangular number (5260146 = T₃₂₄₃).

The spelling of 2265259920 in words is "two billion, two hundred sixty-five million, two hundred fifty-nine thousand, nine hundred twenty".