2505761540 has 12 divisors (see below), whose sum is σ = 5262099276. Its totient is φ = 1002304608.

The previous prime is 2505761539. The next prime is 2505761543. The reversal of 2505761540 is 451675052.

It can be written as a sum of positive squares in 2 ways, for example, as 921243904 + 1584517636 = 30352^2 + 39806^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2505761540.

It is not an unprimeable number, because it can be changed into a prime (2505761543) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62644019 + ... + 62644058.

It is an arithmetic number, because the mean of its divisors is an integer number (438508273).

Almost surely, 2^2505761540 is an apocalyptic number.

2505761540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505761540 is an abundant number, since it is smaller than the sum of its proper divisors (2756337736).

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

2505761540 is a wasteful number, since it uses less digits than its factorization.

2505761540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125288086 (or 125288084 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 35.

The square root of 2505761540 is about 50057.5822428531. The cubic root of 2505761540 is about 1358.2506234239.

The spelling of 2505761540 in words is "two billion, five hundred five million, seven hundred sixty-one thousand, five hundred forty".