2468802456 has 128 divisors (see below), whose sum is σ = 6998400000. Its totient is φ = 806232960.

The previous prime is 2468802443. The next prime is 2468802461. The reversal of 2468802456 is 6542088642.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 2542051 + ... + 2543021.

It is an arithmetic number, because the mean of its divisors is an integer number (54675000).

Almost surely, 2^2468802456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2468802456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499200000).

2468802456 is an abundant number, since it is smaller than the sum of its proper divisors (4529597544).

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

2468802456 is a wasteful number, since it uses less digits than its factorization.

2468802456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 2468802456 is about 49687.0451526351. The cubic root of 2468802456 is about 1351.5396163065.

The spelling of 2468802456 in words is "two billion, four hundred sixty-eight million, eight hundred two thousand, four hundred fifty-six".