2440334000 has 160 divisors (see below), whose sum is σ = 6493084416. Its totient is φ = 881433600.

The previous prime is 2440333943. The next prime is 2440334089. The reversal of 2440334000 is 4330442.

It is a happy number.

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

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 31 ways as a sum of consecutive naturals, for example, 1221002 + ... + 1222998.

Almost surely, 2^2440334000 is an apocalyptic number.

2440334000 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 2440334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246542208).

2440334000 is an abundant number, since it is smaller than the sum of its proper divisors (4052750416).

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

2440334000 is a wasteful number, since it uses less digits than its factorization.

2440334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2440334000 is about 49399.7368414043. The cubic root of 2440334000 is about 1346.3245245022.

Adding to 2440334000 its reverse (4330442), we get a palindrome (2444664442).

The spelling of 2440334000 in words is "two billion, four hundred forty million, three hundred thirty-four thousand".