2117256960 has 576 divisors, whose sum is σ = 8538098688. Its totient is φ = 435290112.

The previous prime is 2117256943. The next prime is 2117256961. The reversal of 2117256960 is 696527112.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117256961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25509079 + ... + 25509161.

It is an arithmetic number, because the mean of its divisors is an integer number (14823088).

Almost surely, 2^2117256960 is an apocalyptic number.

2117256960 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 2117256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4269049344).

2117256960 is an abundant number, since it is smaller than the sum of its proper divisors (6420841728).

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

2117256960 is a wasteful number, since it uses less digits than its factorization.

2117256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 2117256960 is about 46013.6605803103. The cubic root of 2117256960 is about 1284.0773626003.

The spelling of 2117256960 in words is "two billion, one hundred seventeen million, two hundred fifty-six thousand, nine hundred sixty".