2413296000 has 192 divisors, whose sum is σ = 8667266400. Its totient is φ = 643507200.

The previous prime is 2413295959. The next prime is 2413296019. The reversal of 2413296000 is 6923142.

2413296000 is a `hidden beast` number, since 24 + 1 + 32 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135621 + ... + 152379.

Almost surely, 2^2413296000 is an apocalyptic number.

2413296000 is a gapful number since it is divisible by the number (20) 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 2413296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333633200).

2413296000 is an abundant number, since it is smaller than the sum of its proper divisors (6253970400).

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

2413296000 is a wasteful number, since it uses less digits than its factorization.

2413296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16794 (or 16769 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2413296000 is about 49125.3091593325. The cubic root of 2413296000 is about 1341.3337874233. Note that the first 3 decimals are identical.

The spelling of 2413296000 in words is "two billion, four hundred thirteen million, two hundred ninety-six thousand".