2724420464004 has 48 divisors (see below), whose sum is σ = 6417994721600. Its totient is φ = 899430915456.

The previous prime is 2724420463991. The next prime is 2724420464021. The reversal of 2724420464004 is 4004640244272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2688879 + ... + 3560745.

Almost surely, 2^{2724420464004} is an apocalyptic number.

It is an amenable number.

2724420464004 is an abundant number, since it is smaller than the sum of its proper divisors (3693574257596).

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

2724420464004 is a wasteful number, since it uses less digits than its factorization.

2724420464004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874372 (or 874370 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 39.

The spelling of 2724420464004 in words is "two trillion, seven hundred twenty-four billion, four hundred twenty million, four hundred sixty-four thousand, four".