2434000 has 40 divisors (see below), whose sum is σ = 5890248. Its totient is φ = 972800.

The previous prime is 2433979. The next prime is 2434001. The reversal of 2434000 is 4342.

It can be written as a sum of positive squares in 4 ways, for example, as 207936 + 2226064 = 456^2 + 1492^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1392 + ... + 2608.

2^2434000 is an apocalyptic number.

2434000 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 2434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945124).

2434000 is an abundant number, since it is smaller than the sum of its proper divisors (3456248).

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

2434000 is a wasteful number, since it uses less digits than its factorization.

2434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2434000 is about 1560.1281998605. The cubic root of 2434000 is about 134.5158699368.

Adding to 2434000 its reverse (4342), we get a palindrome (2438342).

The spelling of 2434000 in words is "two million, four hundred thirty-four thousand".