2596361040 has 1200 divisors, whose sum is σ = 12284494992. Its totient is φ = 501645312.

The previous prime is 2596361029. The next prime is 2596361041. The reversal of 2596361040 is 401636952.

It is a happy number.

2596361040 is a `hidden beast` number, since 2 + 5 + 9 + 636 + 10 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 30735936 + 2565625104 = 5544^2 + 50652^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2596360986 and 2596361004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2596361041) 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 239 ways as a sum of consecutive naturals, for example, 70171902 + ... + 70171938.

Almost surely, 2^2596361040 is an apocalyptic number.

2596361040 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 2596361040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142247496).

2596361040 is an abundant number, since it is smaller than the sum of its proper divisors (9688133952).

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

2596361040 is a wasteful number, since it uses less digits than its factorization.

2596361040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2596361040 is about 50954.4997031665. The cubic root of 2596361040 is about 1374.4270520907.

Adding to 2596361040 its reverse (401636952), we get a palindrome (2997997992).

The spelling of 2596361040 in words is "two billion, five hundred ninety-six million, three hundred sixty-one thousand, forty".