2552332000 has 192 divisors, whose sum is σ = 6538371840. Its totient is φ = 978432000.

The previous prime is 2552331979. The next prime is 2552332001. The reversal of 2552332000 is 2332552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552332001) 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, 12955902 + ... + 12956098.

It is an arithmetic number, because the mean of its divisors is an integer number (34054020).

Almost surely, 2^2552332000 is an apocalyptic number.

2552332000 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 2552332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269185920).

2552332000 is an abundant number, since it is smaller than the sum of its proper divisors (3986039840).

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

2552332000 is a wasteful number, since it uses less digits than its factorization.

2552332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 324 counting only the distinct ones).

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

The square root of 2552332000 is about 50520.6096558622. The cubic root of 2552332000 is about 1366.6135480710.

Adding to 2552332000 its reverse (2332552), we get a palindrome (2554664552).

The spelling of 2552332000 in words is "two billion, five hundred fifty-two million, three hundred thirty-two thousand".