2732168880 has 800 divisors, whose sum is σ = 11753533440. Its totient is φ = 574801920.

The previous prime is 2732168867. The next prime is 2732168893. The reversal of 2732168880 is 888612372.

It is an interprime number because it is at equal distance from previous prime (2732168867) and next prime (2732168893).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 159 ways as a sum of consecutive naturals, for example, 40778607 + ... + 40778673.

Almost surely, 2^2732168880 is an apocalyptic number.

2732168880 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 2732168880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5876766720).

2732168880 is an abundant number, since it is smaller than the sum of its proper divisors (9021364560).

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

2732168880 is a wasteful number, since it uses less digits than its factorization.

2732168880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2732168880 is about 52270.1528599257. The cubic root of 2732168880 is about 1397.9850060099.

The spelling of 2732168880 in words is "two billion, seven hundred thirty-two million, one hundred sixty-eight thousand, eight hundred eighty".