2116797600 has 288 divisors, whose sum is σ = 7381402560. Its totient is φ = 525312000.

The previous prime is 2116797587. The next prime is 2116797601. The reversal of 2116797600 is 67976112.

It is not an unprimeable number, because it can be changed into a prime (2116797601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2781220 + ... + 2781980.

It is an arithmetic number, because the mean of its divisors is an integer number (25629870).

Almost surely, 2^2116797600 is an apocalyptic number.

2116797600 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 2116797600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690701280).

2116797600 is an abundant number, since it is smaller than the sum of its proper divisors (5264604960).

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

2116797600 is a wasteful number, since it uses less digits than its factorization.

2116797600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 2116797600 is about 46008.6687484000. The cubic root of 2116797600 is about 1283.9844914228.

The spelling of 2116797600 in words is "two billion, one hundred sixteen million, seven hundred ninety-seven thousand, six hundred".