2595668040 has 96 divisors (see below), whose sum is σ = 9641062080. Its totient is φ = 593294976.

The previous prime is 2595668029. The next prime is 2595668051. The reversal of 2595668040 is 408665952.

2595668040 is a `hidden beast` number, since 2 + 5 + 9 + 566 + 80 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2595668029) and next prime (2595668051).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 512494 + ... + 517533.

It is an arithmetic number, because the mean of its divisors is an integer number (100427730).

Almost surely, 2^2595668040 is an apocalyptic number.

2595668040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2595668040 is an abundant number, since it is smaller than the sum of its proper divisors (7045394040).

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

2595668040 is a wasteful number, since it uses less digits than its factorization.

2595668040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030051 (or 1030044 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2595668040 is about 50947.6990648253. The cubic root of 2595668040 is about 1374.3047575039.

The spelling of 2595668040 in words is "two billion, five hundred ninety-five million, six hundred sixty-eight thousand, forty".