2976560 has 40 divisors (see below), whose sum is σ = 7164720. Its totient is φ = 1148672.

The previous prime is 2976553. The next prime is 2976569. The reversal of 2976560 is 656792.

2976560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 2976560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2976569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1679 + ... + 2961.

It is an arithmetic number, because the mean of its divisors is an integer number (179118).

2^2976560 is an apocalyptic number.

2976560 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 2976560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582360).

2976560 is an abundant number, since it is smaller than the sum of its proper divisors (4188160).

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

2976560 is a wasteful number, since it uses less digits than its factorization.

2976560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 2976560 is about 1725.2709932066. The cubic root of 2976560 is about 143.8483485771.

The spelling of 2976560 in words is "two million, nine hundred seventy-six thousand, five hundred sixty".