2028241296 has 135 divisors (see below), whose sum is σ = 5936986731. Its totient is φ = 671216544.

The previous prime is 2028241283. The next prime is 2028241301. The reversal of 2028241296 is 6921428202.

The square root of 2028241296 is 45036.

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

It is a super-2 number, since 2×2028241296² = 8227525509599519232, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2028241296.

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, 14591595 + ... + 14591733.

Almost surely, 2^2028241296 is an apocalyptic number.

2028241296 is the 45036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2028241296

2028241296 is an abundant number, since it is smaller than the sum of its proper divisors (3908745435).

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

2028241296 is an frugal number, since it uses more digits than its factorization.

2028241296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The cubic root of 2028241296 is about 1265.8236541507.

Multiplying 2028241296 by its sum of digits (36), we get a square (73016686656 = 270216²).

2028241296 divided by its sum of digits (36) gives a square (56340036 = 7506²).

Adding to 2028241296 its reverse (6921428202), we get a palindrome (8949669498).

The spelling of 2028241296 in words is "two billion, twenty-eight million, two hundred forty-one thousand, two hundred ninety-six".