2595091840 has 384 divisors, whose sum is σ = 7501455360. Its totient is φ = 854937600.

The previous prime is 2595091823. The next prime is 2595091853. The reversal of 2595091840 is 481905952.

2595091840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55214697 + ... + 55214743.

It is an arithmetic number, because the mean of its divisors is an integer number (19535040).

Almost surely, 2^2595091840 is an apocalyptic number.

2595091840 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 2595091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750727680).

2595091840 is an abundant number, since it is smaller than the sum of its proper divisors (4906363520).

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

2595091840 is a wasteful number, since it uses less digits than its factorization.

2595091840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 43.

The square root of 2595091840 is about 50942.0439322962. The cubic root of 2595091840 is about 1374.2030581865.

The spelling of 2595091840 in words is "two billion, five hundred ninety-five million, ninety-one thousand, eight hundred forty".