2253776531120 has 80 divisors (see below), whose sum is σ = 5295370842432. Its totient is φ = 892001356800.

The previous prime is 2253776531107. The next prime is 2253776531137. The reversal of 2253776531120 is 211356773522.

2253776531120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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, 12377054 + ... + 12557826.

Almost surely, 2^{2253776531120} is an apocalyptic number.

2253776531120 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 2253776531120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647685421216).

2253776531120 is an abundant number, since it is smaller than the sum of its proper divisors (3041594311312).

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

2253776531120 is a wasteful number, since it uses less digits than its factorization.

2253776531120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182430 (or 182424 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 44.

The spelling of 2253776531120 in words is "two trillion, two hundred fifty-three billion, seven hundred seventy-six million, five hundred thirty-one thousand, one hundred twenty".