2413204291008 has 784 divisors, whose sum is σ = 8598055504896. Its totient is φ = 656752250880.

The previous prime is 2413204291007. The next prime is 2413204291027. The reversal of 2413204291008 is 8001924023142.

2413204291008 is a `hidden beast` number, since 2 + 41 + 320 + 4 + 291 + 0 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413204291007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2336112060 + ... + 2336113092.

Almost surely, 2^{2413204291008} is an apocalyptic number.

2413204291008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2413204291008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4299027752448).

2413204291008 is an abundant number, since it is smaller than the sum of its proper divisors (6184851213888).

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

2413204291008 is a wasteful number, since it uses less digits than its factorization.

2413204291008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 2413204291008 in words is "two trillion, four hundred thirteen billion, two hundred four million, two hundred ninety-one thousand, eight".