2253152642560 has 160 divisors (see below), whose sum is σ = 5496698322720. Its totient is φ = 885526167552.

The previous prime is 2253152642557. The next prime is 2253152642599. The reversal of 2253152642560 is 652462513522.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×2253152642560² (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 15 ways as a sum of consecutive naturals, for example, 555372052 + ... + 555376108.

It is an arithmetic number, because the mean of its divisors is an integer number (34354364517).

Almost surely, 2^{2253152642560} is an apocalyptic number.

2253152642560 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 2253152642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748349161360).

2253152642560 is an abundant number, since it is smaller than the sum of its proper divisors (3243545680160).

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

2253152642560 is an equidigital number, since it uses as much as digits as its factorization.

2253152642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7816 (or 7800 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 43.

The spelling of 2253152642560 in words is "two trillion, two hundred fifty-three billion, one hundred fifty-two million, six hundred forty-two thousand, five hundred sixty".