2413427562000 has 1600 divisors, whose sum is σ = 11077405667328. Its totient is φ = 492687360000.

The previous prime is 2413427561999. The next prime is 2413427562047. The reversal of 2413427562000 is 2657243142.

2413427562000 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 4 + 27 + 5 + 620 + 0 + 0 = 666.

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 319 ways as a sum of consecutive naturals, for example, 456999360 + ... + 457004640.

Almost surely, 2^{2413427562000} is an apocalyptic number.

2413427562000 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 2413427562000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5538702833664).

2413427562000 is an abundant number, since it is smaller than the sum of its proper divisors (8663978105328).

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

2413427562000 is a wasteful number, since it uses less digits than its factorization.

2413427562000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5367 (or 5342 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 2413427562000 in words is "two trillion, four hundred thirteen billion, four hundred twenty-seven million, five hundred sixty-two thousand".