2456776542 has 64 divisors (see below), whose sum is σ = 5518533888. Its totient is φ = 722592000.

The previous prime is 2456776481. The next prime is 2456776549.

2456776542 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2456776491 and 2456776500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2456776549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1271317 + ... + 1273247.

It is an arithmetic number, because the mean of its divisors is an integer number (86227092).

Almost surely, 2^2456776542 is an apocalyptic number.

2456776542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2456776542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759266944).

2456776542 is an abundant number, since it is smaller than the sum of its proper divisors (3061757346).

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

2456776542 is a wasteful number, since it uses less digits than its factorization.

2456776542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505.

The product of its digits is 2822400, while the sum is 48.

The square root of 2456776542 is about 49565.8808254226. The cubic root of 2456776542 is about 1349.3415246908.

The spelling of 2456776542 in words is "two billion, four hundred fifty-six million, seven hundred seventy-six thousand, five hundred forty-two".