2220024400 has 120 divisors (see below), whose sum is σ = 6071736384. Its totient is φ = 772147200.

The previous prime is 2220024349. The next prime is 2220024419. The reversal of 2220024400 is 44200222.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90232 + ... + 112168.

Almost surely, 2^2220024400 is an apocalyptic number.

2220024400 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 2220024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035868192).

2220024400 is an abundant number, since it is smaller than the sum of its proper divisors (3851711984).

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

2220024400 is a wasteful number, since it uses less digits than its factorization.

2220024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21989 (or 21978 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2220024400 is about 47117.1348874271. The cubic root of 2220024400 is about 1304.5255293282.

Adding to 2220024400 its reverse (44200222), we get a palindrome (2264224622).

The spelling of 2220024400 in words is "two billion, two hundred twenty million, twenty-four thousand, four hundred".