2834400 has 72 divisors (see below), whose sum is σ = 9233784. Its totient is φ = 755200.

The previous prime is 2834399. The next prime is 2834411. The reversal of 2834400 is 44382.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 1810 + ... + 2990.

It is an arithmetic number, because the mean of its divisors is an integer number (128247).

2^2834400 is an apocalyptic number.

2834400 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 2834400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4616892).

2834400 is an abundant number, since it is smaller than the sum of its proper divisors (6399384).

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

2834400 is a wasteful number, since it uses less digits than its factorization.

2834400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1191 counting only the distinct ones).

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

The square root of 2834400 is about 1683.5676404588. The cubic root of 2834400 is about 141.5208341675.

Adding to 2834400 its reverse (44382), we get a palindrome (2878782).

The spelling of 2834400 in words is "two million, eight hundred thirty-four thousand, four hundred".