2542614560 has 24 divisors (see below), whose sum is σ = 6006927276. Its totient is φ = 1017045760.

The previous prime is 2542614541. The next prime is 2542614563. The reversal of 2542614560 is 654162452.

It can be written as a sum of positive squares in 2 ways, for example, as 2406098704 + 136515856 = 49052^2 + 11684^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2542614560.

It is not an unprimeable number, because it can be changed into a prime (2542614563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7945511 + ... + 7945830.

Almost surely, 2^2542614560 is an apocalyptic number.

2542614560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542614560 is an abundant number, since it is smaller than the sum of its proper divisors (3464312716).

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

2542614560 is a wasteful number, since it uses less digits than its factorization.

2542614560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15891356 (or 15891348 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 2542614560 is about 50424.3449139401. The cubic root of 2542614560 is about 1364.8769826566.

The spelling of 2542614560 in words is "two billion, five hundred forty-two million, six hundred fourteen thousand, five hundred sixty".