2414008004 has 48 divisors (see below), whose sum is σ = 4386009600. Its totient is φ = 1161788160.

The previous prime is 2414007991. The next prime is 2414008049. The reversal of 2414008004 is 4008004142.

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, 5449007 + ... + 5449449.

It is an arithmetic number, because the mean of its divisors is an integer number (91375200).

Almost surely, 2^2414008004 is an apocalyptic number.

It is an amenable number.

2414008004 is a deficient number, since it is larger than the sum of its proper divisors (1972001596).

2414008004 is a wasteful number, since it uses less digits than its factorization.

2414008004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 2414008004 is about 49132.5554393418. Note that the first 3 decimals coincide. The cubic root of 2414008004 is about 1341.4656874078.

The spelling of 2414008004 in words is "two billion, four hundred fourteen million, eight thousand, four".