2260569292800 has 1944 divisors, whose sum is σ = 9882977745816. Its totient is φ = 451852369920.

The previous prime is 2260569292799. The next prime is 2260569292837. The reversal of 2260569292800 is 82929650622.

It is a super-2 number, since 2×2260569292800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 118977331191 + ... + 118977331209.

It is an arithmetic number, because the mean of its divisors is an integer number (5083836289).

Almost surely, 2^{2260569292800} is an apocalyptic number.

2260569292800 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 2260569292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4941488872908).

2260569292800 is an abundant number, since it is smaller than the sum of its proper divisors (7622408453016).

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

2260569292800 is an equidigital number, since it uses as much as digits as its factorization.

2260569292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 2260569292800 in words is "two trillion, two hundred sixty billion, five hundred sixty-nine million, two hundred ninety-two thousand, eight hundred".