2831148864 has 84 divisors (see below), whose sum is σ = 8122886980. Its totient is φ = 942796800.

The previous prime is 2831148857. The next prime is 2831148883. The reversal of 2831148864 is 4688411382.

It can be written as a sum of positive squares in 2 ways, for example, as 595750464 + 2235398400 = 24408^2 + 47280^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 856014 + ... + 859314.

Almost surely, 2^2831148864 is an apocalyptic number.

2831148864 is a gapful number since it is divisible by the number (24) 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 2831148864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4061443490).

2831148864 is an abundant number, since it is smaller than the sum of its proper divisors (5291738116).

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

2831148864 is a wasteful number, since it uses less digits than its factorization.

2831148864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4808 (or 4795 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 2831148864 is about 53208.5412692361. The cubic root of 2831148864 is about 1414.6670401556.

The spelling of 2831148864 in words is "two billion, eight hundred thirty-one million, one hundred forty-eight thousand, eight hundred sixty-four".