2590465588480 has 576 divisors, whose sum is σ = 8019125452800. Its totient is φ = 778095820800.

The previous prime is 2590465588463. The next prime is 2590465588507. The reversal of 2590465588480 is 848855640952.

2590465588480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 785225871 + ... + 785229169.

It is an arithmetic number, because the mean of its divisors is an integer number (13922092800).

Almost surely, 2^{2590465588480} is an apocalyptic number.

2590465588480 is a gapful number since it is divisible by the number (20) 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 2590465588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009562726400).

2590465588480 is an abundant number, since it is smaller than the sum of its proper divisors (5428659864320).

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

2590465588480 is a wasteful number, since it uses less digits than its factorization.

2590465588480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 64.

The spelling of 2590465588480 in words is "two trillion, five hundred ninety billion, four hundred sixty-five million, five hundred eighty-eight thousand, four hundred eighty".