2811540648 has 128 divisors (see below), whose sum is σ = 8524293120. Its totient is φ = 754375680.

The previous prime is 2811540647. The next prime is 2811540653. The reversal of 2811540648 is 8460451182.

It is a super-3 number, since 3×2811540648³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2811540643) 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, 1835643 + ... + 1837173.

It is an arithmetic number, because the mean of its divisors is an integer number (66596040).

Almost surely, 2^2811540648 is an apocalyptic number.

2811540648 is a gapful number since it is divisible by the number (28) 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 2811540648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262146560).

2811540648 is an abundant number, since it is smaller than the sum of its proper divisors (5712752472).

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

2811540648 is a wasteful number, since it uses less digits than its factorization.

2811540648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 2811540648 is about 53023.9629601560. The cubic root of 2811540648 is about 1411.3935299947.

The spelling of 2811540648 in words is "two billion, eight hundred eleven million, five hundred forty thousand, six hundred forty-eight".