2157390144 has 336 divisors, whose sum is σ = 7721925120. Its totient is φ = 560701440.

The previous prime is 2157390121. The next prime is 2157390163. The reversal of 2157390144 is 4410937512.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2157390099 and 2157390108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4140604 + ... + 4141124.

It is an arithmetic number, because the mean of its divisors is an integer number (22981920).

Almost surely, 2^2157390144 is an apocalyptic number.

2157390144 is a gapful number since it is divisible by the number (24) 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 2157390144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860962560).

2157390144 is an abundant number, since it is smaller than the sum of its proper divisors (5564534976).

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

2157390144 is a wasteful number, since it uses less digits than its factorization.

2157390144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2157390144 is about 46447.7140879936. The cubic root of 2157390144 is about 1292.1399778688.

The spelling of 2157390144 in words is "two billion, one hundred fifty-seven million, three hundred ninety thousand, one hundred forty-four".