2605052736 has 168 divisors, whose sum is σ = 8772595104. Its totient is φ = 728663040.

The previous prime is 2605052731. The next prime is 2605052743. The reversal of 2605052736 is 6372505062.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2605052736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2605052731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66555 + ... + 98181.

It is an arithmetic number, because the mean of its divisors is an integer number (52217828).

Almost surely, 2^2605052736 is an apocalyptic number.

2605052736 is a gapful number since it is divisible by the number (26) 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 2605052736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4386297552).

2605052736 is an abundant number, since it is smaller than the sum of its proper divisors (6167542368).

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

2605052736 is a wasteful number, since it uses less digits than its factorization.

2605052736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31669 (or 31656 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 2605052736 is about 51039.7172405961. The cubic root of 2605052736 is about 1375.9590419573.

Adding to 2605052736 its reverse (6372505062), we get a palindrome (8977557798).

The spelling of 2605052736 in words is "two billion, six hundred five million, fifty-two thousand, seven hundred thirty-six".