2202424224 has 576 divisors, whose sum is σ = 8181347328. Its totient is φ = 503193600.

The previous prime is 2202424219. The next prime is 2202424229. The reversal of 2202424224 is 4224242022.

It is an interprime number because it is at equal distance from previous prime (2202424219) and next prime (2202424229).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2202424194 and 2202424203.

It is not an unprimeable number, because it can be changed into a prime (2202424229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51219147 + ... + 51219189.

It is an arithmetic number, because the mean of its divisors is an integer number (14203728).

Almost surely, 2^2202424224 is an apocalyptic number.

2202424224 is a gapful number since it is divisible by the number (24) 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 2202424224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4090673664).

2202424224 is an abundant number, since it is smaller than the sum of its proper divisors (5978923104).

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

2202424224 is a wasteful number, since it uses less digits than its factorization.

2202424224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2202424224 is about 46929.9927977834. The cubic root of 2202424224 is about 1301.0689873995.

Adding to 2202424224 its reverse (4224242022), we get a palindrome (6426666246).

It can be divided in two parts, 2202 and 424224, that added together give a triangular number (426426 = T₉₂₃).

The spelling of 2202424224 in words is "two billion, two hundred two million, four hundred twenty-four thousand, two hundred twenty-four".