2210128144 has 135 divisors (see below), whose sum is σ = 5279546853. Its totient is φ = 893604096.

The previous prime is 2210128103. The next prime is 2210128153. The reversal of 2210128144 is 4418210122.

The square root of 2210128144 is 47012.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1254576400 + 955551744 = 35420^2 + 30912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30275692 + ... + 30275764.

Almost surely, 2^2210128144 is an apocalyptic number.

2210128144 is the 47012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210128144

2210128144 is an abundant number, since it is smaller than the sum of its proper divisors (3069418709).

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

2210128144 is an equidigital number, since it uses as much as digits as its factorization.

2210128144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The cubic root of 2210128144 is about 1302.5842369718.

Multiplying 2210128144 by its sum of digits (25), we get a square (55253203600 = 235060²).

Multiplying 2210128144 by its product of nonzero digits (1024), we get a square (2263171219456 = 1504384²).

Adding to 2210128144 its reverse (4418210122), we get a palindrome (6628338266).

The spelling of 2210128144 in words is "two billion, two hundred ten million, one hundred twenty-eight thousand, one hundred forty-four".