2258022128160 has 96 divisors (see below), whose sum is σ = 7114235510592. Its totient is φ = 602015144960.

The previous prime is 2258022128149. The next prime is 2258022128179. The reversal of 2258022128160 is 618212208522.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1858675 + ... + 2823245.

It is an arithmetic number, because the mean of its divisors is an integer number (74106619902).

Almost surely, 2^{2258022128160} is an apocalyptic number.

2258022128160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2258022128160 is an abundant number, since it is smaller than the sum of its proper divisors (4856213382432).

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

2258022128160 is a wasteful number, since it uses less digits than its factorization.

2258022128160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969466 (or 969458 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 2258022128160 in words is "two trillion, two hundred fifty-eight billion, twenty-two million, one hundred twenty-eight thousand, one hundred sixty".