2590404768 has 288 divisors, whose sum is σ = 8658389376. Its totient is φ = 719437824.

The previous prime is 2590404763. The next prime is 2590404793. The reversal of 2590404768 is 8674040952.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2590404763) 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 47 ways as a sum of consecutive naturals, for example, 18907996 + ... + 18908132.

It is an arithmetic number, because the mean of its divisors is an integer number (30063852).

Almost surely, 2^2590404768 is an apocalyptic number.

2590404768 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 2590404768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4329194688).

2590404768 is an abundant number, since it is smaller than the sum of its proper divisors (6067984608).

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

2590404768 is a wasteful number, since it uses less digits than its factorization.

2590404768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2590404768 is about 50896.0191763560. The cubic root of 2590404768 is about 1373.3752300244.

The spelling of 2590404768 in words is "two billion, five hundred ninety million, four hundred four thousand, seven hundred sixty-eight".