2732118480 has 960 divisors, whose sum is σ = 12349209600. Its totient is φ = 536481792.

The previous prime is 2732118479. The next prime is 2732118481. The reversal of 2732118480 is 848112372.

It is an interprime number because it is at equal distance from previous prime (2732118479) and next prime (2732118481).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2732118481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73841022 + ... + 73841058.

It is an arithmetic number, because the mean of its divisors is an integer number (12863760).

Almost surely, 2^2732118480 is an apocalyptic number.

2732118480 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 2732118480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6174604800).

2732118480 is an abundant number, since it is smaller than the sum of its proper divisors (9617091120).

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

2732118480 is a wasteful number, since it uses less digits than its factorization.

2732118480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2732118480 is about 52269.6707470020. The cubic root of 2732118480 is about 1397.9764098017.

The spelling of 2732118480 in words is "two billion, seven hundred thirty-two million, one hundred eighteen thousand, four hundred eighty".