2636117120 has 128 divisors (see below), whose sum is σ = 7756439040. Its totient is φ = 834269184.

The previous prime is 2636117093. The next prime is 2636117161. The reversal of 2636117120 is 217116362.

2636117120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2636117120² = 13898226940714188800, 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, 35609 + ... + 80871.

It is an arithmetic number, because the mean of its divisors is an integer number (60597180).

Almost surely, 2^2636117120 is an apocalyptic number.

2636117120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2636117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878219520).

2636117120 is an abundant number, since it is smaller than the sum of its proper divisors (5120321920).

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

2636117120 is a wasteful number, since it uses less digits than its factorization.

2636117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45302 (or 45290 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 2636117120 is about 51343.1311861674. The cubic root of 2636117120 is about 1381.4067290879.

The spelling of 2636117120 in words is "two billion, six hundred thirty-six million, one hundred seventeen thousand, one hundred twenty".