2541657480 has 64 divisors (see below), whose sum is σ = 7635556800. Its totient is φ = 676834560.

The previous prime is 2541657479. The next prime is 2541657553. The reversal of 2541657480 is 847561452.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74350 + ... + 103010.

It is an arithmetic number, because the mean of its divisors is an integer number (119305575).

Almost surely, 2^2541657480 is an apocalyptic number.

2541657480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2541657480 is an abundant number, since it is smaller than the sum of its proper divisors (5093899320).

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

2541657480 is a wasteful number, since it uses less digits than its factorization.

2541657480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29414 (or 29410 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 2541657480 is about 50414.8537635487. The cubic root of 2541657480 is about 1364.7057074634.

The spelling of 2541657480 in words is "two billion, five hundred forty-one million, six hundred fifty-seven thousand, four hundred eighty".