2811768960 has 1152 divisors, whose sum is σ = 12990801600. Its totient is φ = 510935040.

The previous prime is 2811768923. The next prime is 2811768961. The reversal of 2811768960 is 698671182.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2811768961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 147987831 + ... + 147987849.

Almost surely, 2^2811768960 is an apocalyptic number.

2811768960 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 2811768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6495400800).

2811768960 is an abundant number, since it is smaller than the sum of its proper divisors (10179032640).

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

2811768960 is a wasteful number, since it uses less digits than its factorization.

2811768960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The square root of 2811768960 is about 53026.1158298437. The cubic root of 2811768960 is about 1411.4317331720.

The spelling of 2811768960 in words is "two billion, eight hundred eleven million, seven hundred sixty-eight thousand, nine hundred sixty".