2754560 has 48 divisors (see below), whose sum is σ = 6633900. Its totient is φ = 1097728.

The previous prime is 2754551. The next prime is 2754599. The reversal of 2754560 is 654572.

It can be written as a sum of positive squares in 2 ways, for example, as 2458624 + 295936 = 1568^2 + 544^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10106 + ... + 10374.

2^2754560 is an apocalyptic number.

2754560 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 2754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316950).

2754560 is an abundant number, since it is smaller than the sum of its proper divisors (3879340).

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

2754560 is an equidigital number, since it uses as much as digits as its factorization.

2754560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 2754560 is about 1659.6867174259. The cubic root of 2754560 is about 140.1793619478.

The spelling of 2754560 in words is "two million, seven hundred fifty-four thousand, five hundred sixty".