2814900 has 72 divisors (see below), whose sum is σ = 8895264. Its totient is φ = 681600.

The previous prime is 2814899. The next prime is 2814913. The reversal of 2814900 is 94182.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2874 + ... + 3726.

2^2814900 is an apocalyptic number.

2814900 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 2814900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447632).

2814900 is an abundant number, since it is smaller than the sum of its proper divisors (6080364).

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

2814900 is a wasteful number, since it uses less digits than its factorization.

2814900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2814900 is about 1677.7663722938. The cubic root of 2814900 is about 141.1955437874.

The spelling of 2814900 in words is "two million, eight hundred fourteen thousand, nine hundred".