2164972076600 has 24 divisors (see below), whose sum is σ = 5033560078560. Its totient is φ = 865988830560.

The previous prime is 2164972076567. The next prime is 2164972076671. The reversal of 2164972076600 is 66702794612.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (50).

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 5 ways as a sum of consecutive naturals, for example, 5412429992 + ... + 5412430391.

It is an arithmetic number, because the mean of its divisors is an integer number (209731669940).

Almost surely, 2^{2164972076600} is an apocalyptic number.

2164972076600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2164972076600 is an abundant number, since it is smaller than the sum of its proper divisors (2868588001960).

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

2164972076600 is a wasteful number, since it uses less digits than its factorization.

2164972076600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10824860399 (or 10824860390 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 50.

The spelling of 2164972076600 in words is "two trillion, one hundred sixty-four billion, nine hundred seventy-two million, seventy-six thousand, six hundred".