2864345000 has 160 divisors (see below), whose sum is σ = 7709407200. Its totient is φ = 986400000.

The previous prime is 2864344969. The next prime is 2864345063. The reversal of 2864345000 is 5434682.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1043630 + ... + 1046370.

It is an arithmetic number, because the mean of its divisors is an integer number (48183795).

Almost surely, 2^2864345000 is an apocalyptic number.

2864345000 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 2864345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3854703600).

2864345000 is an abundant number, since it is smaller than the sum of its proper divisors (4845062200).

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

2864345000 is a wasteful number, since it uses less digits than its factorization.

2864345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 2864345000 is about 53519.5758578111. The cubic root of 2864345000 is about 1420.1747123522.

Adding to 2864345000 its reverse (5434682), we get a palindrome (2869779682).

The spelling of 2864345000 in words is "two billion, eight hundred sixty-four million, three hundred forty-five thousand".