2642204224 has 56 divisors (see below), whose sum is σ = 5800441536. Its totient is φ = 1184064000.

The previous prime is 2642204219. The next prime is 2642204231. The reversal of 2642204224 is 4224022462.

2642204224 = 8932² + 8933² + ... + 8964².

2642204224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2642204224² = 13962486322646884352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2642204192 and 2642204201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23554 + ... + 76414.

Almost surely, 2^2642204224 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 2642204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900220768).

2642204224 is an abundant number, since it is smaller than the sum of its proper divisors (3158237312).

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

2642204224 is a wasteful number, since it uses less digits than its factorization.

2642204224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52955 (or 52945 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 2642204224 is about 51402.3756649437. The cubic root of 2642204224 is about 1382.4691885131.

Adding to 2642204224 its reverse (4224022462), we get a palindrome (6866226686).

The spelling of 2642204224 in words is "two billion, six hundred forty-two million, two hundred four thousand, two hundred twenty-four".