2142112620928 has 128 divisors (see below), whose sum is σ = 4949088307200. Its totient is φ = 904551598080.

The previous prime is 2142112620919. The next prime is 2142112620943. The reversal of 2142112620928 is 8290262112412.

It is a tau number, because it is divible by the number of its divisors (128).

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, 34440738 + ... + 34502878.

It is an arithmetic number, because the mean of its divisors is an integer number (38664752400).

Almost surely, 2^{2142112620928} is an apocalyptic number.

2142112620928 is a gapful number since it is divisible by the number (28) 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 2142112620928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474544153600).

2142112620928 is an abundant number, since it is smaller than the sum of its proper divisors (2806975686272).

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

2142112620928 is an equidigital number, since it uses as much as digits as its factorization.

2142112620928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62728 (or 62716 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 2142112620928 in words is "two trillion, one hundred forty-two billion, one hundred twelve million, six hundred twenty thousand, nine hundred twenty-eight".