2553532000 has 96 divisors (see below), whose sum is σ = 6476730624. Its totient is φ = 988416000.

The previous prime is 2553531941. The next prime is 2553532001. The reversal of 2553532000 is 2353552.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553532001) 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, 113704 + ... + 134296.

It is an arithmetic number, because the mean of its divisors is an integer number (67465944).

Almost surely, 2^2553532000 is an apocalyptic number.

2553532000 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 2553532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3238365312).

2553532000 is an abundant number, since it is smaller than the sum of its proper divisors (3923198624).

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

2553532000 is a wasteful number, since it uses less digits than its factorization.

2553532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20649 (or 20631 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 25.

The square root of 2553532000 is about 50532.4846014917. The cubic root of 2553532000 is about 1366.8276894020.

Adding to 2553532000 its reverse (2353552), we get a palindrome (2555885552).

The spelling of 2553532000 in words is "two billion, five hundred fifty-three million, five hundred thirty-two thousand".