2152926093120 has 896 divisors, whose sum is σ = 8160434491392. Its totient is φ = 475014758400.

The previous prime is 2152926093091. The next prime is 2152926093167. The reversal of 2152926093120 is 213906292512.

It is a super-2 number, since 2×2152926093120² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 675532167 + ... + 675535353.

Almost surely, 2^{2152926093120} is an apocalyptic number.

2152926093120 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 2152926093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080217245696).

2152926093120 is an abundant number, since it is smaller than the sum of its proper divisors (6007508398272).

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

2152926093120 is a wasteful number, since it uses less digits than its factorization.

2152926093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 2152926093120 in words is "two trillion, one hundred fifty-two billion, nine hundred twenty-six million, ninety-three thousand, one hundred twenty".