2542560 has 48 divisors (see below), whose sum is σ = 8010576. Its totient is φ = 677888.

The previous prime is 2542549. The next prime is 2542567. The reversal of 2542560 is 652452.

2542560 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 (48).

It is a super-2 number, since 2×2542560² = 12929222707200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2542560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542567) 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, 2169 + ... + 3128.

It is an arithmetic number, because the mean of its divisors is an integer number (166887).

2^2542560 is an apocalyptic number.

2542560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542560 is an abundant number, since it is smaller than the sum of its proper divisors (5468016).

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

2542560 is a wasteful number, since it uses less digits than its factorization.

2542560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5315 (or 5307 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2542560 is about 1594.5406862166. The cubic root of 2542560 is about 136.4867219973.

The spelling of 2542560 in words is "two million, five hundred forty-two thousand, five hundred sixty".