2116467360 has 768 divisors, whose sum is σ = 9405849600. Its totient is φ = 433078272.

The previous prime is 2116467359. The next prime is 2116467373. The reversal of 2116467360 is 637646112.

It is a happy number.

2116467360 is a `hidden beast` number, since 2 + 1 + 1 + 646 + 7 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11823751 + ... + 11823929.

It is an arithmetic number, because the mean of its divisors is an integer number (12247200).

Almost surely, 2^2116467360 is an apocalyptic number.

2116467360 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 2116467360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702924800).

2116467360 is an abundant number, since it is smaller than the sum of its proper divisors (7289382240).

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

2116467360 is a wasteful number, since it uses less digits than its factorization.

2116467360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2116467360 is about 46005.0797195266. The cubic root of 2116467360 is about 1283.9177167989.

The spelling of 2116467360 in words is "two billion, one hundred sixteen million, four hundred sixty-seven thousand, three hundred sixty".