2413804536000 has 2688 divisors, whose sum is σ = 11097737763840. Its totient is φ = 510603264000.

The previous prime is 2413804535971. The next prime is 2413804536029. The reversal of 2413804536000 is 6354083142.

2413804536000 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 8 + 0 + 45 + 3 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2413804535971) and next prime (2413804536029).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5281847772 + ... + 5281848228.

It is an arithmetic number, because the mean of its divisors is an integer number (4128622680).

Almost surely, 2^{2413804536000} is an apocalyptic number.

2413804536000 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 2413804536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5548868881920).

2413804536000 is an abundant number, since it is smaller than the sum of its proper divisors (8683933227840).

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

2413804536000 is a wasteful number, since it uses less digits than its factorization.

2413804536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2413804536000 in words is "two trillion, four hundred thirteen billion, eight hundred four million, five hundred thirty-six thousand".