2426989824 has 288 divisors, whose sum is σ = 8298967040. Its totient is φ = 685283328.

The previous prime is 2426989801. The next prime is 2426989837. The reversal of 2426989824 is 4289896242.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4983309 + ... + 4983795.

Almost surely, 2^2426989824 is an apocalyptic number.

2426989824 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 2426989824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149483520).

2426989824 is an abundant number, since it is smaller than the sum of its proper divisors (5871977216).

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

2426989824 is a wasteful number, since it uses less digits than its factorization.

2426989824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 602 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 2426989824 is about 49264.4884678609. The cubic root of 2426989824 is about 1343.8660580805.

The spelling of 2426989824 in words is "two billion, four hundred twenty-six million, nine hundred eighty-nine thousand, eight hundred twenty-four".