2100587686272 has 160 divisors (see below), whose sum is σ = 6259183096320. Its totient is φ = 699314605056.

The previous prime is 2100587686187. The next prime is 2100587686277. The reversal of 2100587686272 is 2726867850012.

2100587686272 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 5 + 8 + 7 + 6 + 8 + 627 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100587686277) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8136193 + ... + 8390399.

It is an arithmetic number, because the mean of its divisors is an integer number (39119894352).

Almost surely, 2^{2100587686272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100587686272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129591548160).

2100587686272 is an abundant number, since it is smaller than the sum of its proper divisors (4158595410048).

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

2100587686272 is an equidigital number, since it uses as much as digits as its factorization.

2100587686272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255030 (or 255009 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 2100587686272 in words is "two trillion, one hundred billion, five hundred eighty-seven million, six hundred eighty-six thousand, two hundred seventy-two".