2116970880 has 128 divisors (see below), whose sum is σ = 7103116800. Its totient is φ = 534804480.

The previous prime is 2116970857. The next prime is 2116970881. The reversal of 2116970880 is 880796112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116970881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7465 + ... + 65495.

It is an arithmetic number, because the mean of its divisors is an integer number (55493100).

Almost surely, 2^2116970880 is an apocalyptic number.

2116970880 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 2116970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551558400).

2116970880 is an abundant number, since it is smaller than the sum of its proper divisors (4986145920).

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

2116970880 is a wasteful number, since it uses less digits than its factorization.

2116970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58072 (or 58060 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 2116970880 is about 46010.5518332480. The cubic root of 2116970880 is about 1284.0195259111.

The spelling of 2116970880 in words is "two billion, one hundred sixteen million, nine hundred seventy thousand, eight hundred eighty".