2564510040 has 96 divisors (see below), whose sum is σ = 8350121520. Its totient is φ = 682600704.

The previous prime is 2564510033. The next prime is 2564510041. The reversal of 2564510040 is 400154652.

2564510040 is a `hidden beast` number, since 2 + 5 + 645 + 10 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2564509986 and 2564510013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564510041) 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, 196354 + ... + 209006.

Almost surely, 2^2564510040 is an apocalyptic number.

2564510040 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 2564510040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4175060760).

2564510040 is an abundant number, since it is smaller than the sum of its proper divisors (5785611480).

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

2564510040 is a wasteful number, since it uses less digits than its factorization.

2564510040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13233 (or 13226 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2564510040 is about 50640.9916964508. The cubic root of 2564510040 is about 1368.7836256204.

Adding to 2564510040 its reverse (400154652), we get a palindrome (2964664692).

The spelling of 2564510040 in words is "two billion, five hundred sixty-four million, five hundred ten thousand, forty".