2505540408 has 32 divisors (see below), whose sum is σ = 7158687360. Its totient is φ = 715868640.

The previous prime is 2505540341. The next prime is 2505540409. The reversal of 2505540408 is 8040455052.

It is a super-2 number, since 2×2505540408² = 12555465472241612928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505540409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7456798 + ... + 7457133.

It is an arithmetic number, because the mean of its divisors is an integer number (223708980).

Almost surely, 2^2505540408 is an apocalyptic number.

2505540408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2505540408 is an abundant number, since it is smaller than the sum of its proper divisors (4653146952).

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

2505540408 is a wasteful number, since it uses less digits than its factorization.

2505540408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14913947 (or 14913943 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The square root of 2505540408 is about 50055.3734178460. The cubic root of 2505540408 is about 1358.2106673057.

The spelling of 2505540408 in words is "two billion, five hundred five million, five hundred forty thousand, four hundred eight".