2816249200 has 30 divisors (see below), whose sum is σ = 6766039664. Its totient is φ = 1126499520.

The previous prime is 2816249143. The next prime is 2816249221. The reversal of 2816249200 is 29426182.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 3519912 + ... + 3520711.

Almost surely, 2^2816249200 is an apocalyptic number.

2816249200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2816249200 is an abundant number, since it is smaller than the sum of its proper divisors (3949790464).

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

2816249200 is a wasteful number, since it uses less digits than its factorization.

2816249200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7040641 (or 7040630 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 2816249200 is about 53068.3446133380. The cubic root of 2816249200 is about 1412.1809883376.

The spelling of 2816249200 in words is "two billion, eight hundred sixteen million, two hundred forty-nine thousand, two hundred".