2590434784 has 192 divisors, whose sum is σ = 6243350400. Its totient is φ = 1056706560.

The previous prime is 2590434779. The next prime is 2590434809. The reversal of 2590434784 is 4874340952.

It is a happy number.

2590434784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 35485372 + ... + 35485444.

It is an arithmetic number, because the mean of its divisors is an integer number (32517450).

Almost surely, 2^2590434784 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 2590434784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121675200).

2590434784 is an abundant number, since it is smaller than the sum of its proper divisors (3652915616).

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

2590434784 is an equidigital number, since it uses as much as digits as its factorization.

2590434784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The square root of 2590434784 is about 50896.3140512159. The cubic root of 2590434784 is about 1373.3805346100.

The spelling of 2590434784 in words is "two billion, five hundred ninety million, four hundred thirty-four thousand, seven hundred eighty-four".