2800434 has 64 divisors (see below), whose sum is σ = 7225344. Its totient is φ = 703296.

The previous prime is 2800403. The next prime is 2800439. The reversal of 2800434 is 4340082.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2800434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2800439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12447 + ... + 12669.

It is an arithmetic number, because the mean of its divisors is an integer number (112896).

2^2800434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2800434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612672).

2800434 is an abundant number, since it is smaller than the sum of its proper divisors (4424910).

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

2800434 is a wasteful number, since it uses less digits than its factorization.

2800434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2800434 is about 1673.4497303475. The cubic root of 2800434 is about 140.9532564738.

The spelling of 2800434 in words is "two million, eight hundred thousand, four hundred thirty-four".