2157971008320 has 224 divisors, whose sum is σ = 7615210982400. Its totient is φ = 575279880192.

The previous prime is 2157971008313. The next prime is 2157971008357. The reversal of 2157971008320 is 238001797512.

2157971008320 is a `hidden beast` number, since 2 + 1 + 579 + 71 + 0 + 0 + 8 + 3 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28984582 + ... + 29058938.

It is an arithmetic number, because the mean of its divisors is an integer number (33996477600).

Almost surely, 2^{2157971008320} is an apocalyptic number.

2157971008320 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 2157971008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3807605491200).

2157971008320 is an abundant number, since it is smaller than the sum of its proper divisors (5457239974080).

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

2157971008320 is a wasteful number, since it uses less digits than its factorization.

2157971008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77742 (or 77726 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 2157971008320 in words is "two trillion, one hundred fifty-seven billion, nine hundred seventy-one million, eight thousand, three hundred twenty".