2100172872 has 256 divisors, whose sum is σ = 6569164800. Its totient is φ = 546416640.

The previous prime is 2100172861. The next prime is 2100172931. The reversal of 2100172872 is 2782710012.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10660678 + ... + 10660874.

It is an arithmetic number, because the mean of its divisors is an integer number (25660800).

Almost surely, 2^2100172872 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 2100172872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284582400).

2100172872 is an abundant number, since it is smaller than the sum of its proper divisors (4468991928).

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

2100172872 is a wasteful number, since it uses less digits than its factorization.

2100172872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 2100172872 is about 45827.6430988983. The cubic root of 2100172872 is about 1280.6143031156.

Adding to 2100172872 its reverse (2782710012), we get a palindrome (4882882884).

The spelling of 2100172872 in words is "two billion, one hundred million, one hundred seventy-two thousand, eight hundred seventy-two".