2590380000 has 720 divisors, whose sum is σ = 10531016496. Its totient is φ = 622080000.

The previous prime is 2590379999. The next prime is 2590380007. The reversal of 2590380000 is 830952.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2590380007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 63179980 + ... + 63180020.

Almost surely, 2^2590380000 is an apocalyptic number.

2590380000 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 2590380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5265508248).

2590380000 is an abundant number, since it is smaller than the sum of its proper divisors (7940636496).

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

2590380000 is an equidigital number, since it uses as much as digits as its factorization.

2590380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2590380000 is about 50895.7758561553. The cubic root of 2590380000 is about 1373.3708528621.

The spelling of 2590380000 in words is "two billion, five hundred ninety million, three hundred eighty thousand".