2402679456 has 96 divisors (see below), whose sum is σ = 7096723200. Its totient is φ = 790732800.

The previous prime is 2402679439. The next prime is 2402679463. The reversal of 2402679456 is 6549762042.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 50656 + ... + 85856.

It is an arithmetic number, because the mean of its divisors is an integer number (73924200).

Almost surely, 2^2402679456 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 2402679456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548361600).

2402679456 is an abundant number, since it is smaller than the sum of its proper divisors (4694043744).

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

2402679456 is a wasteful number, since it uses less digits than its factorization.

2402679456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35299 (or 35285 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2402679456 is about 49017.1343103613. The cubic root of 2402679456 is about 1339.3639693374.

The spelling of 2402679456 in words is "two billion, four hundred two million, six hundred seventy-nine thousand, four hundred fifty-six".