2220438528 has 528 divisors, whose sum is σ = 8400888000. Its totient is φ = 572866560.

The previous prime is 2220438523. The next prime is 2220438533. The reversal of 2220438528 is 8258340222.

It is an interprime number because it is at equal distance from previous prime (2220438523) and next prime (2220438533).

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2220438492 and 2220438501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220438523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14902198 + ... + 14902346.

Almost surely, 2^2220438528 is an apocalyptic number.

2220438528 is a gapful number since it is divisible by the number (28) 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 2220438528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4200444000).

2220438528 is an abundant number, since it is smaller than the sum of its proper divisors (6180449472).

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

2220438528 is a wasteful number, since it uses less digits than its factorization.

2220438528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2220438528 is about 47121.5293469981. The cubic root of 2220438528 is about 1304.6066405928.

The spelling of 2220438528 in words is "two billion, two hundred twenty million, four hundred thirty-eight thousand, five hundred twenty-eight".