2172676000 has 216 divisors, whose sum is σ = 5956564068. Its totient is φ = 778272000.

The previous prime is 2172675949. The next prime is 2172676019. The reversal of 2172676000 is 6762712.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1468728976 + 703947024 = 38324^2 + 26532^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32427967 + ... + 32428033.

Almost surely, 2^2172676000 is an apocalyptic number.

2172676000 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 2172676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978282034).

2172676000 is an abundant number, since it is smaller than the sum of its proper divisors (3783888068).

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

2172676000 is an equidigital number, since it uses as much as digits as its factorization.

2172676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 2172676000 is about 46611.9727108819. The cubic root of 2172676000 is about 1295.1845515468.

The spelling of 2172676000 in words is "two billion, one hundred seventy-two million, six hundred seventy-six thousand".