2864414016 has 168 divisors, whose sum is σ = 8644636000. Its totient is φ = 940211712.

The previous prime is 2864414011. The next prime is 2864414017. The reversal of 2864414016 is 6104144682.

It is a happy number.

2864414016 is a `hidden beast` number, since 2 + 8 + 644 + 1 + 4 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2864414011) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1040610 + ... + 1043358.

Almost surely, 2^2864414016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2864414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322318000).

2864414016 is an abundant number, since it is smaller than the sum of its proper divisors (5780221984).

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

2864414016 is an equidigital number, since it uses as much as digits as its factorization.

2864414016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2864414016 is about 53520.2206273479. The cubic root of 2864414016 is about 1420.1861185655.

Adding to 2864414016 its reverse (6104144682), we get a palindrome (8968558698).

The spelling of 2864414016 in words is "two billion, eight hundred sixty-four million, four hundred fourteen thousand, sixteen".