2400560 has 40 divisors (see below), whose sum is σ = 5739216. Its totient is φ = 933120.

The previous prime is 2400557. The next prime is 2400571. The reversal of 2400560 is 650042.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2555 + ... + 3365.

2^2400560 is an apocalyptic number.

2400560 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 2400560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869608).

2400560 is an abundant number, since it is smaller than the sum of its proper divisors (3338656).

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

2400560 is a wasteful number, since it uses less digits than its factorization.

2400560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2400560 is about 1549.3740671639. The cubic root of 2400560 is about 133.8970026081.

The spelling of 2400560 in words is "two million, four hundred thousand, five hundred sixty".