2117051872 has 96 divisors (see below), whose sum is σ = 4586258880. Its totient is φ = 956067840.

The previous prime is 2117051857. The next prime is 2117051897. The reversal of 2117051872 is 2781507112.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6763588 + ... + 6763900.

It is an arithmetic number, because the mean of its divisors is an integer number (47773530).

Almost surely, 2^2117051872 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 2117051872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293129440).

2117051872 is an abundant number, since it is smaller than the sum of its proper divisors (2469207008).

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

2117051872 is a wasteful number, since it uses less digits than its factorization.

2117051872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 34.

The square root of 2117051872 is about 46011.4319707614. The cubic root of 2117051872 is about 1284.0359005629.

Adding to 2117051872 its reverse (2781507112), we get a palindrome (4898558984).

The spelling of 2117051872 in words is "two billion, one hundred seventeen million, fifty-one thousand, eight hundred seventy-two".