2242532000 has 144 divisors (see below), whose sum is σ = 5818903272. Its totient is φ = 849254400.

The previous prime is 2242531979. The next prime is 2242532011. The reversal of 2242532000 is 2352422.

It can be written as a sum of positive squares in 4 ways, for example, as 252301456 + 1990230544 = 15884^2 + 44612^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1443224 + ... + 1444776.

Almost surely, 2^2242532000 is an apocalyptic number.

2242532000 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 2242532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909451636).

2242532000 is an abundant number, since it is smaller than the sum of its proper divisors (3576371272).

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

2242532000 is a wasteful number, since it uses less digits than its factorization.

2242532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2242532000 is about 47355.3798422101. The cubic root of 2242532000 is about 1308.9193348605.

Adding to 2242532000 its reverse (2352422), we get a palindrome (2244884422).

The spelling of 2242532000 in words is "two billion, two hundred forty-two million, five hundred thirty-two thousand".