2176416864 has 144 divisors (see below), whose sum is σ = 6756684480. Its totient is φ = 687242880.

The previous prime is 2176416859. The next prime is 2176416871. The reversal of 2176416864 is 4686146712.

2176416864 is a `hidden beast` number, since 2 + 176 + 416 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nialpdrome in base 6.

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, 140379 + ... + 155109.

It is an arithmetic number, because the mean of its divisors is an integer number (46921420).

Almost surely, 2^2176416864 is an apocalyptic number.

2176416864 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 2176416864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378342240).

2176416864 is an abundant number, since it is smaller than the sum of its proper divisors (4580267616).

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

2176416864 is a wasteful number, since it uses less digits than its factorization.

2176416864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14775 (or 14755 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 2176416864 is about 46652.0831689218. The cubic root of 2176416864 is about 1295.9274650762.

The spelling of 2176416864 in words is "two billion, one hundred seventy-six million, four hundred sixteen thousand, eight hundred sixty-four".