2140117056 has 336 divisors, whose sum is σ = 7764402048. Its totient is φ = 547430400.

The previous prime is 2140117039. The next prime is 2140117073. The reversal of 2140117056 is 6507110412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2140117039) and next prime (2140117073).

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3237366 + ... + 3238026.

Almost surely, 2^2140117056 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 2140117056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882201024).

2140117056 is an abundant number, since it is smaller than the sum of its proper divisors (5624284992).

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

2140117056 is a wasteful number, since it uses less digits than its factorization.

2140117056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 2140117056 is about 46261.3992006295. The cubic root of 2140117056 is about 1288.6822382567.

Adding to 2140117056 its reverse (6507110412), we get a palindrome (8647227468).

The spelling of 2140117056 in words is "two billion, one hundred forty million, one hundred seventeen thousand, fifty-six".