2434979568 has 160 divisors (see below), whose sum is σ = 7473172480. Its totient is φ = 668528640.

The previous prime is 2434979543. The next prime is 2434979579. The reversal of 2434979568 is 8659794342.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1634568 + ... + 1636056.

It is an arithmetic number, because the mean of its divisors is an integer number (46707328).

Almost surely, 2^2434979568 is an apocalyptic number.

2434979568 is a gapful number since it is divisible by the number (28) 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 2434979568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736586240).

2434979568 is an abundant number, since it is smaller than the sum of its proper divisors (5038192912).

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

2434979568 is a wasteful number, since it uses less digits than its factorization.

2434979568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1689 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 57.

The square root of 2434979568 is about 49345.5121363635. The cubic root of 2434979568 is about 1345.3391290707.

The spelling of 2434979568 in words is "two billion, four hundred thirty-four million, nine hundred seventy-nine thousand, five hundred sixty-eight".