2220577128 has 192 divisors, whose sum is σ = 7939451520. Its totient is φ = 542822400.

The previous prime is 2220577091. The next prime is 2220577141. The reversal of 2220577128 is 8217750222.

It is a Cunningham number, because it is equal to 47123²-1.

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 = 2220577092 and 2220577101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82468 + ... + 106028.

It is an arithmetic number, because the mean of its divisors is an integer number (41351310).

Almost surely, 2^2220577128 is an apocalyptic number.

2220577128 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 2220577128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3969725760).

2220577128 is an abundant number, since it is smaller than the sum of its proper divisors (5718874392).

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

2220577128 is a wasteful number, since it uses less digits than its factorization.

2220577128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23608 (or 23601 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 2220577128 is about 47122.9999893895. Note that the first 4 decimals coincide. The cubic root of 2220577128 is about 1304.6337845880.

The spelling of 2220577128 in words is "two billion, two hundred twenty million, five hundred seventy-seven thousand, one hundred twenty-eight".