2166904480 has 144 divisors (see below), whose sum is σ = 5595899904. Its totient is φ = 792529920.

The previous prime is 2166904471. The next prime is 2166904517. The reversal of 2166904480 is 844096612.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 3433765 + ... + 3434395.

It is an arithmetic number, because the mean of its divisors is an integer number (38860416).

Almost surely, 2^2166904480 is an apocalyptic number.

2166904480 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 2166904480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797949952).

2166904480 is an abundant number, since it is smaller than the sum of its proper divisors (3428995424).

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

2166904480 is a wasteful number, since it uses less digits than its factorization.

2166904480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 2166904480 is about 46550.0212674495. The cubic root of 2166904480 is about 1294.0366871343.

The spelling of 2166904480 in words is "two billion, one hundred sixty-six million, nine hundred four thousand, four hundred eighty".