2260793568000 has 288 divisors, whose sum is σ = 8191886556672. Its totient is φ = 548070912000.

The previous prime is 2260793567971. The next prime is 2260793568041. The reversal of 2260793568000 is 8653970622.

It is a super-2 number, since 2×2260793568000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14452 + ... + 2126451.

It is an arithmetic number, because the mean of its divisors is an integer number (28444050544).

Almost surely, 2^{2260793568000} is an apocalyptic number.

2260793568000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260793568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095943278336).

2260793568000 is an abundant number, since it is smaller than the sum of its proper divisors (5931092988672).

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

2260793568000 is a wasteful number, since it uses less digits than its factorization.

2260793568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140948 (or 2140924 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 2260793568000 in words is "two trillion, two hundred sixty billion, seven hundred ninety-three million, five hundred sixty-eight thousand".