2592252000 has 576 divisors, whose sum is σ = 10302888960. Its totient is φ = 612864000.

The previous prime is 2592251969. The next prime is 2592252017. The reversal of 2592252000 is 2522952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13571905 + ... + 13572095.

It is an arithmetic number, because the mean of its divisors is an integer number (17886960).

Almost surely, 2^2592252000 is an apocalyptic number.

2592252000 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 2592252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5151444480).

2592252000 is an abundant number, since it is smaller than the sum of its proper divisors (7710636960).

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

2592252000 is a wasteful number, since it uses less digits than its factorization.

2592252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2592252000 is about 50914.1630590153. The cubic root of 2592252000 is about 1373.7016062864.

Adding to 2592252000 its reverse (2522952), we get a palindrome (2594774952).

The spelling of 2592252000 in words is "two billion, five hundred ninety-two million, two hundred fifty-two thousand".