2756480 has 64 divisors (see below), whose sum is σ = 6793200. Its totient is φ = 1069056.

The previous prime is 2756459. The next prime is 2756483. The reversal of 2756480 is 846572.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2756483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37724 + ... + 37796.

2^2756480 is an apocalyptic number.

2756480 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 2756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396600).

2756480 is an abundant number, since it is smaller than the sum of its proper divisors (4036720).

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

2756480 is an equidigital number, since it uses as much as digits as its factorization.

2756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 2756480 is about 1660.2650390826. The cubic root of 2756480 is about 140.2119239378.

The spelling of 2756480 in words is "two million, seven hundred fifty-six thousand, four hundred eighty".