2166288624 has 120 divisors (see below), whose sum is σ = 6304235392. Its totient is φ = 720135360.

The previous prime is 2166288613. The next prime is 2166288643. The reversal of 2166288624 is 4268826612.

2166288624 is a `hidden beast` number, since 2 + 16 + 6 + 2 + 8 + 8 + 624 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2166288624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2452887 + ... + 2453769.

Almost surely, 2^2166288624 is an apocalyptic number.

2166288624 is a gapful number since it is divisible by the number (24) 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 2166288624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152117696).

2166288624 is an abundant number, since it is smaller than the sum of its proper divisors (4137946768).

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

2166288624 is an equidigital number, since it uses as much as digits as its factorization.

2166288624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1519 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 2166288624 is about 46543.4058057637. The cubic root of 2166288624 is about 1293.9140827806.

The spelling of 2166288624 in words is "two billion, one hundred sixty-six million, two hundred eighty-eight thousand, six hundred twenty-four".