2253628765560 has 128 divisors (see below), whose sum is σ = 6825454606080. Its totient is φ = 595230547968.

The previous prime is 2253628765517. The next prime is 2253628765589. The reversal of 2253628765560 is 655678263522.

It is a super-2 number, since 2×2253628765560² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2253628765560.

It is a congruent number.

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, 76036504 + ... + 76066136.

It is an arithmetic number, because the mean of its divisors is an integer number (53323864110).

Almost surely, 2^{2253628765560} is an apocalyptic number.

2253628765560 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 2253628765560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412727303040).

2253628765560 is an abundant number, since it is smaller than the sum of its proper divisors (4571825840520).

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

2253628765560 is a wasteful number, since it uses less digits than its factorization.

2253628765560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35677 (or 35673 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 57.

The spelling of 2253628765560 in words is "two trillion, two hundred fifty-three billion, six hundred twenty-eight million, seven hundred sixty-five thousand, five hundred sixty".