2580791850 has 576 divisors, whose sum is σ = 9359400960. Its totient is φ = 494553600.

The previous prime is 2580791839. The next prime is 2580791861. The reversal of 2580791850 is 581970852.

It is a happy number.

2580791850 is a `hidden beast` number, since 2 + 580 + 7 + 9 + 18 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (2580791839) and next prime (2580791861).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2580791796 and 2580791805.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24119497 + ... + 24119603.

It is an arithmetic number, because the mean of its divisors is an integer number (16248960).

Almost surely, 2^2580791850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2580791850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4679700480).

2580791850 is an abundant number, since it is smaller than the sum of its proper divisors (6778609110).

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

2580791850 is a wasteful number, since it uses less digits than its factorization.

2580791850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 2580791850 is about 50801.4945646287. The cubic root of 2580791850 is about 1371.6742721522.

It can be divided in two parts, 2580 and 791850, that added together give a triangular number (794430 = T₁₂₆₀).

The spelling of 2580791850 in words is "two billion, five hundred eighty million, seven hundred ninety-one thousand, eight hundred fifty".