2511164260 has 96 divisors (see below), whose sum is σ = 6071345280. Its totient is φ = 862848000.

The previous prime is 2511164251. The next prime is 2511164261. The reversal of 2511164260 is 624611152.

2511164260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2511164261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2929752 + ... + 2930608.

It is an arithmetic number, because the mean of its divisors is an integer number (63243180).

Almost surely, 2^2511164260 is an apocalyptic number.

2511164260 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 2511164260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035672640).

2511164260 is an abundant number, since it is smaller than the sum of its proper divisors (3560181020).

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

2511164260 is a wasteful number, since it uses less digits than its factorization.

2511164260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 2511164260 is about 50111.5182368285. The cubic root of 2511164260 is about 1359.2261059874.

The spelling of 2511164260 in words is "two billion, five hundred eleven million, one hundred sixty-four thousand, two hundred sixty".