2166537120 has 192 divisors, whose sum is σ = 7883277696. Its totient is φ = 494305280.

The previous prime is 2166537091. The next prime is 2166537161. The reversal of 2166537120 is 217356612.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 77692 + ... + 101828.

It is an arithmetic number, because the mean of its divisors is an integer number (41058738).

Almost surely, 2^2166537120 is an apocalyptic number.

2166537120 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 2166537120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941638848).

2166537120 is an abundant number, since it is smaller than the sum of its proper divisors (5716740576).

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

2166537120 is a wasteful number, since it uses less digits than its factorization.

2166537120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24183 (or 24175 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 2166537120 is about 46546.0752373388. The cubic root of 2166537120 is about 1293.9635560559.

It can be divided in two parts, 21665 and 37120, that added together give a palindrome (58785).

The spelling of 2166537120 in words is "two billion, one hundred sixty-six million, five hundred thirty-seven thousand, one hundred twenty".