2166877440 has 864 divisors, whose sum is σ = 9695427840. Its totient is φ = 448561152.

The previous prime is 2166877417. The next prime is 2166877451. The reversal of 2166877440 is 447786612.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 40884454 + ... + 40884506.

It is an arithmetic number, because the mean of its divisors is an integer number (11221560).

Almost surely, 2^2166877440 is an apocalyptic number.

2166877440 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 2166877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4847713920).

2166877440 is an abundant number, since it is smaller than the sum of its proper divisors (7528550400).

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

2166877440 is a wasteful number, since it uses less digits than its factorization.

2166877440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2166877440 is about 46549.7308262894. The cubic root of 2166877440 is about 1294.0313045100.

The spelling of 2166877440 in words is "two billion, one hundred sixty-six million, eight hundred seventy-seven thousand, four hundred forty".