2220024000 has 224 divisors, whose sum is σ = 7380524736. Its totient is φ = 587980800.

The previous prime is 2220023969. The next prime is 2220024017. The reversal of 2220024000 is 4200222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5591802 + ... + 5592198.

Almost surely, 2^2220024000 is an apocalyptic number.

2220024000 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 2220024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690262368).

2220024000 is an abundant number, since it is smaller than the sum of its proper divisors (5160500736).

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

2220024000 is a wasteful number, since it uses less digits than its factorization.

2220024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2220024000 is about 47117.1306426866. The cubic root of 2220024000 is about 1304.5254509792.

Adding to 2220024000 its reverse (4200222), we get a palindrome (2224224222).

The spelling of 2220024000 in words is "two billion, two hundred twenty million, twenty-four thousand".