2166288432 has 480 divisors, whose sum is σ = 7632082944. Its totient is φ = 522547200.

The previous prime is 2166288389. The next prime is 2166288479. The reversal of 2166288432 is 2348826612.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29675148 + ... + 29675220.

Almost surely, 2^2166288432 is an apocalyptic number.

2166288432 is a gapful number since it is divisible by the number (22) 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 2166288432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816041472).

2166288432 is an abundant number, since it is smaller than the sum of its proper divisors (5465794512).

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

2166288432 is a wasteful number, since it uses less digits than its factorization.

2166288432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 164 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 2166288432 is about 46543.4037431729. The cubic root of 2166288432 is about 1293.9140445537.

The spelling of 2166288432 in words is "two billion, one hundred sixty-six million, two hundred eighty-eight thousand, four hundred thirty-two".