2117824072 has 64 divisors (see below), whose sum is σ = 4912427520. Its totient is φ = 833511168.

The previous prime is 2117824067. The next prime is 2117824123. The reversal of 2117824072 is 2704287112.

It is a happy number.

It is a super-2 number, since 2×2117824072² = 8970357599885322368, which contains 22 as substring.

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, 136033 + ... + 150799.

It is an arithmetic number, because the mean of its divisors is an integer number (76756680).

Almost surely, 2^2117824072 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 2117824072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456213760).

2117824072 is an abundant number, since it is smaller than the sum of its proper divisors (2794603448).

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

2117824072 is a wasteful number, since it uses less digits than its factorization.

2117824072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14990 (or 14986 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 2117824072 is about 46019.8225985281. The cubic root of 2117824072 is about 1284.1920000276.

The spelling of 2117824072 in words is "two billion, one hundred seventeen million, eight hundred twenty-four thousand, seventy-two".