2426064642 has 64 divisors (see below), whose sum is σ = 5467461120. Its totient is φ = 797328000.

The previous prime is 2426064623. The next prime is 2426064649. The reversal of 2426064642 is 2464606242.

2426064642 is a `hidden beast` number, since 2 + 4 + 2 + 6 + 0 + 6 + 4 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2426064597 and 2426064606.

It is not an unprimeable number, because it can be changed into a prime (2426064649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1531783 + ... + 1533365.

It is an arithmetic number, because the mean of its divisors is an integer number (85429080).

Almost surely, 2^2426064642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2426064642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733730560).

2426064642 is an abundant number, since it is smaller than the sum of its proper divisors (3041396478).

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

2426064642 is a wasteful number, since it uses less digits than its factorization.

2426064642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 2426064642 is about 49255.0976245099. The cubic root of 2426064642 is about 1343.6952733090.

The spelling of 2426064642 in words is "two billion, four hundred twenty-six million, sixty-four thousand, six hundred forty-two".