2834244000 has 768 divisors, whose sum is σ = 12378562560. Its totient is φ = 615859200.

The previous prime is 2834243999. The next prime is 2834244001. The reversal of 2834244000 is 4424382.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2834243999) and next prime (2834244001).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2834244001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17387919 + ... + 17388081.

It is an arithmetic number, because the mean of its divisors is an integer number (16117920).

Almost surely, 2^2834244000 is an apocalyptic number.

2834244000 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 2834244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6189281280).

2834244000 is an abundant number, since it is smaller than the sum of its proper divisors (9544318560).

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

2834244000 is a wasteful number, since it uses less digits than its factorization.

2834244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2834244000 is about 53237.6182788073. The cubic root of 2834244000 is about 1415.1823777378.

Adding to 2834244000 its reverse (4424382), we get a palindrome (2838668382).

The spelling of 2834244000 in words is "two billion, eight hundred thirty-four million, two hundred forty-four thousand".