2172734928 has 560 divisors, whose sum is σ = 8196975360. Its totient is φ = 541956096.

The previous prime is 2172734891. The next prime is 2172734933. The reversal of 2172734928 is 8294372712.

2172734928 is a `hidden beast` number, since 21 + 72 + 73 + 492 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 24412708 + ... + 24412796.

It is an arithmetic number, because the mean of its divisors is an integer number (14637456).

Almost surely, 2^2172734928 is an apocalyptic number.

2172734928 is a gapful number since it is divisible by the number (28) 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 2172734928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4098487680).

2172734928 is an abundant number, since it is smaller than the sum of its proper divisors (6024240432).

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

2172734928 is a wasteful number, since it uses less digits than its factorization.

2172734928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 2172734928 is about 46612.6048188685. The cubic root of 2172734928 is about 1295.1962609082.

The spelling of 2172734928 in words is "two billion, one hundred seventy-two million, seven hundred thirty-four thousand, nine hundred twenty-eight".