2541438880 has 48 divisors (see below), whose sum is σ = 6007266720. Its totient is φ = 1016047872.

The previous prime is 2541438859. The next prime is 2541438937. The reversal of 2541438880 is 888341452.

It is a happy number.

It is an unprimeable number.

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, 488131 + ... + 493309.

It is an arithmetic number, because the mean of its divisors is an integer number (125151390).

Almost surely, 2^2541438880 is an apocalyptic number.

2541438880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2541438880 is an abundant number, since it is smaller than the sum of its proper divisors (3465827840).

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

2541438880 is a wasteful number, since it uses less digits than its factorization.

2541438880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8261 (or 8253 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 43.

The square root of 2541438880 is about 50412.6857050882. The cubic root of 2541438880 is about 1364.6665816537. Note that the first 3 decimals are identical.

The spelling of 2541438880 in words is "two billion, five hundred forty-one million, four hundred thirty-eight thousand, eight hundred eighty".