2116973760 has 224 divisors, whose sum is σ = 7367576832. Its totient is φ = 510750720.

The previous prime is 2116973743. The next prime is 2116973777. The reversal of 2116973760 is 673796112.

It is an interprime number because it is at equal distance from previous prime (2116973743) and next prime (2116973777).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3241594 + ... + 3242246.

It is an arithmetic number, because the mean of its divisors is an integer number (32890968).

Almost surely, 2^2116973760 is an apocalyptic number.

2116973760 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 2116973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683788416).

2116973760 is an abundant number, since it is smaller than the sum of its proper divisors (5250603072).

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

2116973760 is a wasteful number, since it uses less digits than its factorization.

2116973760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 2116973760 is about 46010.5831304060. The cubic root of 2116973760 is about 1284.0201081856.

The spelling of 2116973760 in words is "two billion, one hundred sixteen million, nine hundred seventy-three thousand, seven hundred sixty".