2413936416 has 24 divisors (see below), whose sum is σ = 6336583344. Its totient is φ = 804645440.

The previous prime is 2413936391. The next prime is 2413936429. The reversal of 2413936416 is 6146393142.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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 3 ways as a sum of consecutive naturals, for example, 12572490 + ... + 12572681.

It is an arithmetic number, because the mean of its divisors is an integer number (264024306).

Almost surely, 2^2413936416 is an apocalyptic number.

It is an amenable number.

2413936416 is an abundant number, since it is smaller than the sum of its proper divisors (3922646928).

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

2413936416 is a wasteful number, since it uses less digits than its factorization.

2413936416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25145184 (or 25145176 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 2413936416 is about 49131.8269149438. The cubic root of 2413936416 is about 1341.4524267786.

The spelling of 2413936416 in words is "two billion, four hundred thirteen million, nine hundred thirty-six thousand, four hundred sixteen".