2816380224 has 84 divisors (see below), whose sum is σ = 9225893664. Its totient is φ = 804678912.

The previous prime is 2816380219. The next prime is 2816380283. The reversal of 2816380224 is 4220836182.

2816380224 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×2816380224² = 15863995132276580352, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345222 + ... + 353285.

Almost surely, 2^2816380224 is an apocalyptic number.

2816380224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2816380224 is an abundant number, since it is smaller than the sum of its proper divisors (6409513440).

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

2816380224 is a wasteful number, since it uses less digits than its factorization.

2816380224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698532 (or 698519 counting only the distinct ones).

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

The square root of 2816380224 is about 53069.5790825592. The cubic root of 2816380224 is about 1412.2028882382.

The spelling of 2816380224 in words is "two billion, eight hundred sixteen million, three hundred eighty thousand, two hundred twenty-four".