2232052000 has 96 divisors (see below), whose sum is σ = 5499237744. Its totient is φ = 890368000.

The previous prime is 2232051977. The next prime is 2232052001. The reversal of 2232052000 is 2502322.

It can be written as a sum of positive squares in 8 ways, for example, as 192987664 + 2039064336 = 13892^2 + 45156^2 .

It is a super-3 number, since 3×2232052000³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (2232052001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2371530 + ... + 2372470.

Almost surely, 2^2232052000 is an apocalyptic number.

2232052000 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 2232052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749618872).

2232052000 is an abundant number, since it is smaller than the sum of its proper divisors (3267185744).

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

2232052000 is an equidigital number, since it uses as much as digits as its factorization.

2232052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 2232052000 is about 47244.5975747492. The cubic root of 2232052000 is about 1306.8771642462.

Adding to 2232052000 its reverse (2502322), we get a palindrome (2234554322).

The spelling of 2232052000 in words is "two billion, two hundred thirty-two million, fifty-two thousand".