2428560658242 has 16 divisors (see below), whose sum is σ = 5396801462880. Its totient is φ = 809520219396.

The previous prime is 2428560658231. The next prime is 2428560658327.

2428560658242 is a `hidden beast` number, since 2 + 4 + 2 + 8 + 5 + 606 + 5 + 8 + 24 + 2 = 666.

2428560658242 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 44973345523 = 2428560658242 / (2 + 4 + 2 + 8 + 5 + 6 + 0 + 6 + 5 + 8 + 2 + 4 + 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22486672708 + ... + 22486672815.

It is an arithmetic number, because the mean of its divisors is an integer number (337300091430).

Almost surely, 2^{2428560658242} is an apocalyptic number.

2428560658242 is an abundant number, since it is smaller than the sum of its proper divisors (2968240804638).

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

2428560658242 is a wasteful number, since it uses less digits than its factorization.

2428560658242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44973345534 (or 44973345528 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 2428560658242 in words is "two trillion, four hundred twenty-eight billion, five hundred sixty million, six hundred fifty-eight thousand, two hundred forty-two".