2172658768 has 80 divisors (see below), whose sum is σ = 4887437184. Its totient is φ = 916439040.

The previous prime is 2172658739. The next prime is 2172658783. The reversal of 2172658768 is 8678562712.

It is a super-2 number, since 2×2172658768² = 9440892244334555648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2465688 + ... + 2466568.

Almost surely, 2^2172658768 is an apocalyptic number.

2172658768 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 2172658768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443718592).

2172658768 is an abundant number, since it is smaller than the sum of its proper divisors (2714778416).

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

2172658768 is a wasteful number, since it uses less digits than its factorization.

2172658768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1214 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 52.

The square root of 2172658768 is about 46611.7878653029. The cubic root of 2172658768 is about 1295.1811274009.

The spelling of 2172658768 in words is "two billion, one hundred seventy-two million, six hundred fifty-eight thousand, seven hundred sixty-eight".