2413259385264 has 1600 divisors, whose sum is σ = 9544944640000. Its totient is φ = 582692382720.

The previous prime is 2413259385247. The next prime is 2413259385269. The reversal of 2413259385264 is 4625839523142.

2413259385264 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 25 + 93 + 8 + 526 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2413259385264.

It is not an unprimeable number, because it can be changed into a prime (2413259385269) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3403750542 + ... + 3403751250.

It is an arithmetic number, because the mean of its divisors is an integer number (5965590400).

Almost surely, 2^{2413259385264} is an apocalyptic number.

2413259385264 is a gapful number since it is divisible by the number (24) 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 2413259385264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4772472320000).

2413259385264 is an abundant number, since it is smaller than the sum of its proper divisors (7131685254736).

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

2413259385264 is a wasteful number, since it uses less digits than its factorization.

2413259385264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 784 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 2413259385264 in words is "two trillion, four hundred thirteen billion, two hundred fifty-nine million, three hundred eighty-five thousand, two hundred sixty-four".