2456886542 has 96 divisors (see below), whose sum is σ = 4548579840. Its totient is φ = 983664000.

The previous prime is 2456886541. The next prime is 2456886547.

2456886542 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2456886541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9065867 + ... + 9066137.

It is an arithmetic number, because the mean of its divisors is an integer number (47381040).

Almost surely, 2^2456886542 is an apocalyptic number.

2456886542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2456886542 is a deficient number, since it is larger than the sum of its proper divisors (2091693298).

2456886542 is a wasteful number, since it uses less digits than its factorization.

2456886542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 367 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 50.

The square root of 2456886542 is about 49566.9904472725. The cubic root of 2456886542 is about 1349.3616629153.

The spelling of 2456886542 in words is "two billion, four hundred fifty-six million, eight hundred eighty-six thousand, five hundred forty-two".