2265344400 has 120 divisors (see below), whose sum is σ = 7916395104. Its totient is φ = 549171200.

The previous prime is 2265344371. The next prime is 2265344429. The reversal of 2265344400 is 44435622.

It is an interprime number because it is at equal distance from previous prime (2265344371) and next prime (2265344429).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2265344400² = 10263570501222720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72609 + ... + 99008.

Almost surely, 2^2265344400 is an apocalyptic number.

2265344400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2265344400 is an abundant number, since it is smaller than the sum of its proper divisors (5651050704).

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

2265344400 is a wasteful number, since it uses less digits than its factorization.

2265344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171649 (or 171638 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 2265344400 is about 47595.6342535741. The cubic root of 2265344400 is about 1313.3427440269.

The spelling of 2265344400 in words is "two billion, two hundred sixty-five million, three hundred forty-four thousand, four hundred".