2157415008160 has 48 divisors (see below), whose sum is σ = 5143653484200. Its totient is φ = 855048877056.

The previous prime is 2157415008157. The next prime is 2157415008163. The reversal of 2157415008160 is 618005147512.

It is an interprime number because it is at equal distance from previous prime (2157415008157) and next prime (2157415008163).

It can be written as a sum of positive squares in 4 ways, for example, as 2072713054864 + 84701953296 = 1439692^2 + 291036^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2157415008163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61835055 + ... + 61869934.

Almost surely, 2^{2157415008160} is an apocalyptic number.

2157415008160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2157415008160 is an abundant number, since it is smaller than the sum of its proper divisors (2986238476040).

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

2157415008160 is a wasteful number, since it uses less digits than its factorization.

2157415008160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123705113 (or 123705105 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 40.

The spelling of 2157415008160 in words is "two trillion, one hundred fifty-seven billion, four hundred fifteen million, eight thousand, one hundred sixty".