6002022400 has 144 divisors (see below), whose sum is σ = 16235757720. Its totient is φ = 2182348800.

The previous prime is 6002022373. The next prime is 6002022401. The reversal of 6002022400 is 42202006.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6002022401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 557872 + ... + 568528.

Almost surely, 2^6002022400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6002022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8117878860).

6002022400 is an abundant number, since it is smaller than the sum of its proper divisors (10233735320).

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

6002022400 is a wasteful number, since it uses less digits than its factorization.

6002022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10700 (or 10675 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 6002022400 is about 77472.7203601371. The cubic root of 6002022400 is about 1817.3247334912.

Adding to 6002022400 its reverse (42202006), we get a palindrome (6044224406).

The spelling of 6002022400 in words is "six billion, two million, twenty-two thousand, four hundred".