2502205540 has 48 divisors (see below), whose sum is σ = 5296649904. Its totient is φ = 992908800.

The previous prime is 2502205507. The next prime is 2502205577. The reversal of 2502205540 is 455022052.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 605284 + 2501600256 = 778^2 + 50016^2 .

It is a super-2 number, since 2×2502205540² = 12522065128813383200, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2450230 + ... + 2451250.

It is an arithmetic number, because the mean of its divisors is an integer number (110346873).

Almost surely, 2^2502205540 is an apocalyptic number.

2502205540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2502205540 is an abundant number, since it is smaller than the sum of its proper divisors (2794444364).

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

2502205540 is a wasteful number, since it uses less digits than its factorization.

2502205540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 2502205540 is about 50022.0505377379. The cubic root of 2502205540 is about 1357.6078080945.

Adding to 2502205540 its reverse (455022052), we get a palindrome (2957227592).

The spelling of 2502205540 in words is "two billion, five hundred two million, two hundred five thousand, five hundred forty".