2580201792 has 168 divisors, whose sum is σ = 8949635136. Its totient is φ = 693817344.

The previous prime is 2580201761. The next prime is 2580201823. The reversal of 2580201792 is 2971020852.

2580201792 is a `hidden beast` number, since 2 + 580 + 2 + 0 + 1 + 79 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2580201761) and next prime (2580201823).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×2580201792² = 13314882574880022528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49723 + ... + 87365.

Almost surely, 2^2580201792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2580201792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4474817568).

2580201792 is an abundant number, since it is smaller than the sum of its proper divisors (6369433344).

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

2580201792 is a wasteful number, since it uses less digits than its factorization.

2580201792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37685 (or 37672 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2580201792 is about 50795.6867460220. The cubic root of 2580201792 is about 1371.5697268400.

The spelling of 2580201792 in words is "two billion, five hundred eighty million, two hundred one thousand, seven hundred ninety-two".