2590085783760 has 640 divisors, whose sum is σ = 8880634174464. Its totient is φ = 621774766080.

The previous prime is 2590085783689. The next prime is 2590085783783. The reversal of 2590085783760 is 673875800952.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2590085783694 and 2590085783703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2441173630 + ... + 2441174690.

Almost surely, 2^{2590085783760} is an apocalyptic number.

2590085783760 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 2590085783760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440317087232).

2590085783760 is an abundant number, since it is smaller than the sum of its proper divisors (6290548390704).

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

2590085783760 is a wasteful number, since it uses less digits than its factorization.

2590085783760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 60.

The spelling of 2590085783760 in words is "two trillion, five hundred ninety billion, eighty-five million, seven hundred eighty-three thousand, seven hundred sixty".