2413412496 has 400 divisors, whose sum is σ = 8112242688. Its totient is φ = 685843200.

The previous prime is 2413412483. The next prime is 2413412501. The reversal of 2413412496 is 6942143142.

2413412496 is a `hidden beast` number, since 24 + 134 + 12 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2413412496.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19003185 + ... + 19003311.

Almost surely, 2^2413412496 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 2413412496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4056121344).

2413412496 is an abundant number, since it is smaller than the sum of its proper divisors (5698830192).

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

2413412496 is a wasteful number, since it uses less digits than its factorization.

2413412496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 217 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2413412496 is about 49126.4948474853. The cubic root of 2413412496 is about 1341.3553702857.

The spelling of 2413412496 in words is "two billion, four hundred thirteen million, four hundred twelve thousand, four hundred ninety-six".