2172746880 has 192 divisors, whose sum is σ = 7944463800. Its totient is φ = 545292288.

The previous prime is 2172746867. The next prime is 2172746923. The reversal of 2172746880 is 886472712.

It can be written as a sum of positive squares in 4 ways, for example, as 2059707456 + 113039424 = 45384^2 + 10632^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

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, 86826 + ... + 109014.

Almost surely, 2^2172746880 is an apocalyptic number.

2172746880 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 2172746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3972231900).

2172746880 is an abundant number, since it is smaller than the sum of its proper divisors (5771716920).

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

2172746880 is a wasteful number, since it uses less digits than its factorization.

2172746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22231 (or 22216 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 2172746880 is about 46612.7330243572. The cubic root of 2172746880 is about 1295.1986358194.

The spelling of 2172746880 in words is "two billion, one hundred seventy-two million, seven hundred forty-six thousand, eight hundred eighty".