2260566400 has 48 divisors (see below), whose sum is σ = 5584313340. Its totient is φ = 904225280.

The previous prime is 2260566397. The next prime is 2260566403. The reversal of 2260566400 is 46650622.

It is an interprime number because it is at equal distance from previous prime (2260566397) and next prime (2260566403).

It is a super-2 number, since 2×2260566400² = 10220320897617920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260566403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 350014 + ... + 356413.

Almost surely, 2^2260566400 is an apocalyptic number.

2260566400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2260566400 is an abundant number, since it is smaller than the sum of its proper divisors (3323746940).

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

2260566400 is an equidigital number, since it uses as much as digits as its factorization.

2260566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706451 (or 706434 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 2260566400 is about 47545.4140795934. The cubic root of 2260566400 is about 1312.4187390355.

The spelling of 2260566400 in words is "two billion, two hundred sixty million, five hundred sixty-six thousand, four hundred".