2420179493256 has 384 divisors, whose sum is σ = 7841498945280. Its totient is φ = 685007870976.

The previous prime is 2420179493243. The next prime is 2420179493267. The reversal of 2420179493256 is 6523949710242.

It is a happy number.

2420179493256 is a `hidden beast` number, since 2 + 4 + 201 + 79 + 49 + 325 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 796896570 + ... + 796899606.

It is an arithmetic number, because the mean of its divisors is an integer number (20420570170).

Almost surely, 2^{2420179493256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420179493256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920749472640).

2420179493256 is an abundant number, since it is smaller than the sum of its proper divisors (5421319452024).

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

2420179493256 is a wasteful number, since it uses less digits than its factorization.

2420179493256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3595 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2420179493256 in words is "two trillion, four hundred twenty billion, one hundred seventy-nine million, four hundred ninety-three thousand, two hundred fifty-six".