2220551424 has 648 divisors, whose sum is σ = 8587804680. Its totient is φ = 544997376.

The previous prime is 2220551401. The next prime is 2220551461. The reversal of 2220551424 is 4241550222.

It can be written as a sum of positive squares in 4 ways, for example, as 70560000 + 2149991424 = 8400^2 + 46368^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24949972 + ... + 24950060.

It is an arithmetic number, because the mean of its divisors is an integer number (13252785).

Almost surely, 2^2220551424 is an apocalyptic number.

2220551424 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 2220551424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293902340).

2220551424 is an abundant number, since it is smaller than the sum of its proper divisors (6367253256).

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

2220551424 is a wasteful number, since it uses less digits than its factorization.

2220551424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2220551424 is about 47122.7272555399. The cubic root of 2220551424 is about 1304.6287506960.

The spelling of 2220551424 in words is "two billion, two hundred twenty million, five hundred fifty-one thousand, four hundred twenty-four".