2260977724320 has 96 divisors (see below), whose sum is σ = 8139519819648. Its totient is φ = 516794907648.

The previous prime is 2260977724319. The next prime is 2260977724321. The reversal of 2260977724320 is 234277790622.

It is an interprime number because it is at equal distance from previous prime (2260977724319) and next prime (2260977724321).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2260977724320² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2260977724321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336451659 + ... + 336458378.

It is an arithmetic number, because the mean of its divisors is an integer number (84786664788).

Almost surely, 2^{2260977724320} is an apocalyptic number.

2260977724320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2260977724320 is an abundant number, since it is smaller than the sum of its proper divisors (5878542095328).

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

2260977724320 is a wasteful number, since it uses less digits than its factorization.

2260977724320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672910062 (or 672910054 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 51.

The spelling of 2260977724320 in words is "two trillion, two hundred sixty billion, nine hundred seventy-seven million, seven hundred twenty-four thousand, three hundred twenty".