2864222240 has 96 divisors (see below), whose sum is σ = 7403368896. Its totient is φ = 1038504960.

The previous prime is 2864222227. The next prime is 2864222287. The reversal of 2864222240 is 422224682.

It is a super-2 number, since 2×2864222240² = 16407538080221235200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2864222197 and 2864222206.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 654299 + ... + 658661.

It is an arithmetic number, because the mean of its divisors is an integer number (77118426).

Almost surely, 2^2864222240 is an apocalyptic number.

2864222240 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 2864222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701684448).

2864222240 is an abundant number, since it is smaller than the sum of its proper divisors (4539146656).

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

2864222240 is a wasteful number, since it uses less digits than its factorization.

2864222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4762 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 2864222240 is about 53518.4289754473. The cubic root of 2864222240 is about 1420.1544234626.

The spelling of 2864222240 in words is "two billion, eight hundred sixty-four million, two hundred twenty-two thousand, two hundred forty".