2444114000 has 40 divisors (see below), whose sum is σ = 5909872488. Its totient is φ = 977644800.

The previous prime is 2444113981. The next prime is 2444114047. The reversal of 2444114000 is 4114442.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 91087936 + 2353026064 = 9544^2 + 48508^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 609029 + ... + 613028.

Almost surely, 2^2444114000 is an apocalyptic number.

2444114000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2444114000 is an abundant number, since it is smaller than the sum of its proper divisors (3465758488).

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

2444114000 is a wasteful number, since it uses less digits than its factorization.

2444114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222080 (or 1222064 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2444114000 is about 49437.9813503747. The cubic root of 2444114000 is about 1347.0193038971.

Adding to 2444114000 its reverse (4114442), we get a palindrome (2448228442).

The spelling of 2444114000 in words is "two billion, four hundred forty-four million, one hundred fourteen thousand".