2205144240 has 160 divisors (see below), whose sum is σ = 7379527680. Its totient is φ = 541498368.

The previous prime is 2205144209. The next prime is 2205144257. The reversal of 2205144240 is 424415022.

It is a happy number.

2205144240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2205144240² = 9725322238410355200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2205144240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2242789 + ... + 2243771.

It is an arithmetic number, because the mean of its divisors is an integer number (46122048).

Almost surely, 2^2205144240 is an apocalyptic number.

2205144240 is a gapful number since it is divisible by the number (20) 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 2205144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689763840).

2205144240 is an abundant number, since it is smaller than the sum of its proper divisors (5174383440).

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

2205144240 is a wasteful number, since it uses less digits than its factorization.

2205144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2205144240 is about 46958.9633616416. The cubic root of 2205144240 is about 1301.6043781374.

Adding to 2205144240 its reverse (424415022), we get a palindrome (2629559262).

The spelling of 2205144240 in words is "two billion, two hundred five million, one hundred forty-four thousand, two hundred forty".