2157748395264 has 2304 divisors, whose sum is σ = 8928976896000. Its totient is φ = 507219148800.

The previous prime is 2157748395251. The next prime is 2157748395331. The reversal of 2157748395264 is 4625938477512.

It is a happy number.

2157748395264 is a `hidden beast` number, since 2 + 1 + 5 + 7 + 7 + 483 + 95 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13743620274 + ... + 13743620430.

It is an arithmetic number, because the mean of its divisors is an integer number (3875424000).

Almost surely, 2^{2157748395264} is an apocalyptic number.

2157748395264 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 2157748395264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464488448000).

2157748395264 is an abundant number, since it is smaller than the sum of its proper divisors (6771228500736).

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

2157748395264 is a wasteful number, since it uses less digits than its factorization.

2157748395264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 228 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 2157748395264 in words is "two trillion, one hundred fifty-seven billion, seven hundred forty-eight million, three hundred ninety-five thousand, two hundred sixty-four".