2157323984640 has 1296 divisors, whose sum is σ = 8569474464096. Its totient is φ = 520277852160.

The previous prime is 2157323984633. The next prime is 2157323984653. The reversal of 2157323984640 is 464893237512.

2157323984640 is a `hidden beast` number, since 2 + 1 + 5 + 73 + 23 + 98 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11177844384 + ... + 11177844576.

It is a 1-persistent number, because it is pandigital, but 2⋅2157323984640 = 4314647969280 is not.

Almost surely, 2^{2157323984640} is an apocalyptic number.

2157323984640 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 2157323984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4284737232048).

2157323984640 is an abundant number, since it is smaller than the sum of its proper divisors (6412150479456).

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

2157323984640 is an frugal number, since it uses more digits than its factorization.

2157323984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2157323984640 in words is "two trillion, one hundred fifty-seven billion, three hundred twenty-three million, nine hundred eighty-four thousand, six hundred forty".