2157319422720 has 2880 divisors, whose sum is σ = 10393781207040. Its totient is φ = 413857382400.

The previous prime is 2157319422673. The next prime is 2157319422733. The reversal of 2157319422720 is 272249137512.

2157319422720 is a `hidden beast` number, since 2 + 1 + 573 + 1 + 9 + 4 + 2 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5692135491 + ... + 5692135869.

It is an arithmetic number, because the mean of its divisors is an integer number (3608951808).

Almost surely, 2^{2157319422720} is an apocalyptic number.

2157319422720 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 2157319422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5196890603520).

2157319422720 is an abundant number, since it is smaller than the sum of its proper divisors (8236461784320).

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

2157319422720 is a wasteful number, since it uses less digits than its factorization.

2157319422720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 2157319422720 in words is "two trillion, one hundred fifty-seven billion, three hundred nineteen million, four hundred twenty-two thousand, seven hundred twenty".