2413416090 has 16 divisors (see below), whose sum is σ = 5792198688. Its totient is φ = 643577616.

The previous prime is 2413416077. The next prime is 2413416107. The reversal of 2413416090 is 906143142.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 80447203 = 2413416090 / (2 + 4 + 1 + 3 + 4 + 1 + 6 + 0 + 9 + 0).

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 7 ways as a sum of consecutive naturals, for example, 40223572 + ... + 40223631.

It is an arithmetic number, because the mean of its divisors is an integer number (362012418).

Almost surely, 2^2413416090 is an apocalyptic number.

2413416090 is an abundant number, since it is smaller than the sum of its proper divisors (3378782598).

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

2413416090 is a wasteful number, since it uses less digits than its factorization.

2413416090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80447213.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2413416090 is about 49126.5314265113. The cubic root of 2413416090 is about 1341.3560361242.

The spelling of 2413416090 in words is "two billion, four hundred thirteen million, four hundred sixteen thousand, ninety".