2172981888 has 576 divisors, whose sum is σ = 8380532160. Its totient is φ = 527155200.

The previous prime is 2172981887. The next prime is 2172981901. The reversal of 2172981888 is 8881892712.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (2172981883) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16587583 + ... + 16587713.

It is an arithmetic number, because the mean of its divisors is an integer number (14549535).

Almost surely, 2^2172981888 is an apocalyptic number.

2172981888 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 2172981888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4190266080).

2172981888 is an abundant number, since it is smaller than the sum of its proper divisors (6207550272).

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

2172981888 is a wasteful number, since it uses less digits than its factorization.

2172981888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 171 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 54.

The square root of 2172981888 is about 46615.2538124593. The cubic root of 2172981888 is about 1295.2453310987.

The spelling of 2172981888 in words is "two billion, one hundred seventy-two million, nine hundred eighty-one thousand, eight hundred eighty-eight".