2732880 has 80 divisors (see below), whose sum is σ = 8660160. Its totient is φ = 712704.

The previous prime is 2732843. The next prime is 2732893. The reversal of 2732880 is 882372.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14064 + ... + 14256.

It is an arithmetic number, because the mean of its divisors is an integer number (108252).

2^2732880 is an apocalyptic number.

2732880 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 2732880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330080).

2732880 is an abundant number, since it is smaller than the sum of its proper divisors (5927280).

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

2732880 is a wasteful number, since it uses less digits than its factorization.

2732880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2732880 is about 1653.1424621006. The cubic root of 2732880 is about 139.8106283147.

The spelling of 2732880 in words is "two million, seven hundred thirty-two thousand, eight hundred eighty".