2511211540 has 48 divisors (see below), whose sum is σ = 5368688640. Its totient is φ = 986515200.

The previous prime is 2511211531. The next prime is 2511211541. The reversal of 2511211540 is 451121152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2511211541) 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 15 ways as a sum of consecutive naturals, for example, 264109 + ... + 273451.

It is an arithmetic number, because the mean of its divisors is an integer number (111847680).

Almost surely, 2^2511211540 is an apocalyptic number.

2511211540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2511211540 is an abundant number, since it is smaller than the sum of its proper divisors (2857477100).

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

2511211540 is a wasteful number, since it uses less digits than its factorization.

2511211540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9592 (or 9590 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

The square root of 2511211540 is about 50111.9899824383. The cubic root of 2511211540 is about 1359.2346364007.

Adding to 2511211540 its reverse (451121152), we get a palindrome (2962332692).

The spelling of 2511211540 in words is "two billion, five hundred eleven million, two hundred eleven thousand, five hundred forty".