2213028140625 has 63 divisors (see below), whose sum is σ = 3996701595471. Its totient is φ = 1179984150000.

The previous prime is 2213028140563. The next prime is 2213028140641. The reversal of 2213028140625 is 5260418203122.

The square root of 2213028140625 is 1487625.

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

2213028140625 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 0 + 28 + 1 + 4 + 0 + 625 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1938825101889 + 274203038736 = 1392417^2 + 523644^2 .

It is not a de Polignac number, because 2213028140625 - 2¹¹ = 2213028138577 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2213028140625.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 557857392 + ... + 557861358.

Almost surely, 2^{2213028140625} is an apocalyptic number.

2213028140625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2213028140625 is the 1487625-th square number.

2213028140625 is the 743813-rd centered octagonal number.

It is an amenable number.

2213028140625 is a deficient number, since it is larger than the sum of its proper divisors (1783673454846).

2213028140625 is an frugal number, since it uses more digits than its factorization.

2213028140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7970 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 2213028140625 by its sum of digits (36), we get a square (79669013062500 = 8925750²).

The spelling of 2213028140625 in words is "two trillion, two hundred thirteen billion, twenty-eight million, one hundred forty thousand, six hundred twenty-five".