2553232000 has 256 divisors, whose sum is σ = 7045833600. Its totient is φ = 912384000.

The previous prime is 2553231979. The next prime is 2553232009. The reversal of 2553232000 is 2323552.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2553232009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15663919 + ... + 15664081.

Almost surely, 2^2553232000 is an apocalyptic number.

2553232000 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 2553232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522916800).

2553232000 is an abundant number, since it is smaller than the sum of its proper divisors (4492601600).

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

2553232000 is a wasteful number, since it uses less digits than its factorization.

2553232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 2553232000 is about 50529.5161267155. The cubic root of 2553232000 is about 1366.7741603598.

Adding to 2553232000 its reverse (2323552), we get a palindrome (2555555552).

The spelling of 2553232000 in words is "two billion, five hundred fifty-three million, two hundred thirty-two thousand".