2590371680 has 96 divisors (see below), whose sum is σ = 6610766400. Its totient is φ = 953505792.

The previous prime is 2590371671. The next prime is 2590371689. The reversal of 2590371680 is 861730952.

It is an interprime number because it is at equal distance from previous prime (2590371671) and next prime (2590371689).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2590371689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 744986 + ... + 748454.

It is an arithmetic number, because the mean of its divisors is an integer number (68862150).

Almost surely, 2^2590371680 is an apocalyptic number.

2590371680 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 2590371680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305383200).

2590371680 is an abundant number, since it is smaller than the sum of its proper divisors (4020394720).

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

2590371680 is a wasteful number, since it uses less digits than its factorization.

2590371680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 2590371680 is about 50895.6941204263. The cubic root of 2590371680 is about 1373.3693824913.

The spelling of 2590371680 in words is "two billion, five hundred ninety million, three hundred seventy-one thousand, six hundred eighty".