2546560540 has 24 divisors (see below), whose sum is σ = 5349052800. Its totient is φ = 1018381248.

The previous prime is 2546560493. The next prime is 2546560547. The reversal of 2546560540 is 450656452.

It is a self number, because there is not a number n which added to its sum of digits gives 2546560540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2546560547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87786 + ... + 113134.

It is an arithmetic number, because the mean of its divisors is an integer number (222877200).

Almost surely, 2^2546560540 is an apocalyptic number.

2546560540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2546560540 is an abundant number, since it is smaller than the sum of its proper divisors (2802492260).

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

2546560540 is a wasteful number, since it uses less digits than its factorization.

2546560540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30381 (or 30379 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The square root of 2546560540 is about 50463.4574717191. The cubic root of 2546560540 is about 1365.5826858371.

The spelling of 2546560540 in words is "two billion, five hundred forty-six million, five hundred sixty thousand, five hundred forty".