2864384640 has 512 divisors, whose sum is σ = 11227507200. Its totient is φ = 685670400.

The previous prime is 2864384639. The next prime is 2864384669. The reversal of 2864384640 is 464834682.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9210085 + ... + 9210395.

It is an arithmetic number, because the mean of its divisors is an integer number (21928725).

Almost surely, 2^2864384640 is an apocalyptic number.

2864384640 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 2864384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613753600).

2864384640 is an abundant number, since it is smaller than the sum of its proper divisors (8363122560).

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

2864384640 is a wasteful number, since it uses less digits than its factorization.

2864384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 2864384640 is about 53519.9461883138. The cubic root of 2864384640 is about 1420.1812636424.

The spelling of 2864384640 in words is "two billion, eight hundred sixty-four million, three hundred eighty-four thousand, six hundred forty".