2205052000 has 192 divisors, whose sum is σ = 5700554496. Its totient is φ = 837273600.

The previous prime is 2205051983. The next prime is 2205052007. The reversal of 2205052000 is 2505022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205052007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6955842 + ... + 6956158.

It is an arithmetic number, because the mean of its divisors is an integer number (29690388).

Almost surely, 2^2205052000 is an apocalyptic number.

2205052000 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 2205052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850277248).

2205052000 is an abundant number, since it is smaller than the sum of its proper divisors (3495502496).

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

2205052000 is a wasteful number, since it uses less digits than its factorization.

2205052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 2205052000 is about 46957.9812172542. The cubic root of 2205052000 is about 1301.5862294135.

Adding to 2205052000 its reverse (2505022), we get a palindrome (2207557022).

The spelling of 2205052000 in words is "two billion, two hundred five million, fifty-two thousand".