2595668240 has 80 divisors (see below), whose sum is σ = 6667073280. Its totient is φ = 931906560.

The previous prime is 2595668237. The next prime is 2595668249. The reversal of 2595668240 is 428665952.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2595668240² = 13474987224289395200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2595668249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50852 + ... + 88188.

It is an arithmetic number, because the mean of its divisors is an integer number (83338416).

Almost surely, 2^2595668240 is an apocalyptic number.

2595668240 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 2595668240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333536640).

2595668240 is an abundant number, since it is smaller than the sum of its proper divisors (4071405040).

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

2595668240 is a wasteful number, since it uses less digits than its factorization.

2595668240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37440 (or 37434 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 47.

The square root of 2595668240 is about 50947.7010276224. The cubic root of 2595668240 is about 1374.3047928013.

The spelling of 2595668240 in words is "two billion, five hundred ninety-five million, six hundred sixty-eight thousand, two hundred forty".