2260882400 has 72 divisors (see below), whose sum is σ = 6307877520. Its totient is φ = 775157760.

The previous prime is 2260882387. The next prime is 2260882433. The reversal of 2260882400 is 42880622.

It is a happy number.

It is a super-2 number, since 2×2260882400² = 10223178453259520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 196265 + ... + 207464.

It is an arithmetic number, because the mean of its divisors is an integer number (87609410).

Almost surely, 2^2260882400 is an apocalyptic number.

2260882400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2260882400 is an abundant number, since it is smaller than the sum of its proper divisors (4046995120).

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

2260882400 is a wasteful number, since it uses less digits than its factorization.

2260882400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403756 (or 403743 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 2260882400 is about 47548.7371020514. The cubic root of 2260882400 is about 1312.4798896390.

The spelling of 2260882400 in words is "two billion, two hundred sixty million, eight hundred eighty-two thousand, four hundred".