2420334000 has 640 divisors, whose sum is σ = 10461235200. Its totient is φ = 522547200.

The previous prime is 2420333989. The next prime is 2420334023. The reversal of 2420334000 is 4330242.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 127 ways as a sum of consecutive naturals, for example, 7181832 + ... + 7182168.

It is an arithmetic number, because the mean of its divisors is an integer number (16345680).

Almost surely, 2^2420334000 is an apocalyptic number.

2420334000 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 2420334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230617600).

2420334000 is an abundant number, since it is smaller than the sum of its proper divisors (8040901200).

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

2420334000 is a wasteful number, since it uses less digits than its factorization.

2420334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2420334000 is about 49196.8901456179. The cubic root of 2420334000 is about 1342.6364519088.

Adding to 2420334000 its reverse (4330242), we get a palindrome (2424664242).

The spelling of 2420334000 in words is "two billion, four hundred twenty million, three hundred thirty-four thousand".