2840376864 has 192 divisors, whose sum is σ = 8609618304. Its totient is φ = 812138496.

The previous prime is 2840376863. The next prime is 2840376871. The reversal of 2840376864 is 4686730482.

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

It is not an unprimeable number, because it can be changed into a prime (2840376863) 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 31 ways as a sum of consecutive naturals, for example, 1760122 + ... + 1761734.

It is an arithmetic number, because the mean of its divisors is an integer number (44841762).

Almost surely, 2^2840376864 is an apocalyptic number.

2840376864 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 2840376864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4304809152).

2840376864 is an abundant number, since it is smaller than the sum of its proper divisors (5769241440).

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

2840376864 is a wasteful number, since it uses less digits than its factorization.

2840376864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The square root of 2840376864 is about 53295.1861240769. The cubic root of 2840376864 is about 1416.2023873632.

The spelling of 2840376864 in words is "two billion, eight hundred forty million, three hundred seventy-six thousand, eight hundred sixty-four".