2511512640 has 756 divisors, whose sum is σ = 11122318116. Its totient is φ = 515579904.

The previous prime is 2511512617. The next prime is 2511512681. The reversal of 2511512640 is 462151152.

2511512640 is a `hidden beast` number, since 2 + 5 + 1 + 1 + 5 + 12 + 640 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 88510464 + 2423002176 = 9408^2 + 49224^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 67878702 + ... + 67878738.

It is an arithmetic number, because the mean of its divisors is an integer number (14712061).

Almost surely, 2^2511512640 is an apocalyptic number.

2511512640 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 2511512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5561159058).

2511512640 is an abundant number, since it is smaller than the sum of its proper divisors (8610805476).

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

2511512640 is a wasteful number, since it uses less digits than its factorization.

2511512640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2511512640 is about 50114.9941634238. The cubic root of 2511512640 is about 1359.2889593422.

Adding to 2511512640 its reverse (462151152), we get a palindrome (2973663792).

It can be divided in two parts, 2511512 and 640, that added together give a palindrome (2512152).

The spelling of 2511512640 in words is "two billion, five hundred eleven million, five hundred twelve thousand, six hundred forty".