2591598240 has 960 divisors, whose sum is σ = 11855289600. Its totient is φ = 528353280.

The previous prime is 2591598223. The next prime is 2591598263. The reversal of 2591598240 is 428951952.

It is a happy number.

2591598240 is a `hidden beast` number, since 2 + 59 + 1 + 598 + 2 + 4 + 0 = 666.

It is a super-3 number, since 3×2591598240³ (a number of 29 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 48898054 + ... + 48898106.

It is an arithmetic number, because the mean of its divisors is an integer number (12349260).

Almost surely, 2^2591598240 is an apocalyptic number.

2591598240 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 2591598240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927644800).

2591598240 is an abundant number, since it is smaller than the sum of its proper divisors (9263691360).

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

2591598240 is a wasteful number, since it uses less digits than its factorization.

2591598240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 2591598240 is about 50907.7424366864. The cubic root of 2591598240 is about 1373.5861151137.

The spelling of 2591598240 in words is "two billion, five hundred ninety-one million, five hundred ninety-eight thousand, two hundred forty".