2542080456 has 64 divisors (see below), whose sum is σ = 7066800000. Its totient is φ = 846704448.

The previous prime is 2542080439. The next prime is 2542080467. The reversal of 2542080456 is 6540802452.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2542080456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332970 + ... + 340518.

It is an arithmetic number, because the mean of its divisors is an integer number (110418750).

Almost surely, 2^2542080456 is an apocalyptic number.

It is an amenable number.

2542080456 is an abundant number, since it is smaller than the sum of its proper divisors (4524719544).

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

2542080456 is a wasteful number, since it uses less digits than its factorization.

2542080456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9123 (or 9113 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2542080456 is about 50419.0485431845. The cubic root of 2542080456 is about 1364.7814068509.

The spelling of 2542080456 in words is "two billion, five hundred forty-two million, eighty thousand, four hundred fifty-six".