2525344000 has 144 divisors (see below), whose sum is σ = 6413949360. Its totient is φ = 990412800.

The previous prime is 2525343929. The next prime is 2525344013. The reversal of 2525344000 is 4435252.

It can be written as a sum of positive squares in 8 ways, for example, as 908660736 + 1616683264 = 30144^2 + 40208^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1695256 + ... + 1696744.

It is an arithmetic number, because the mean of its divisors is an integer number (44541315).

Almost surely, 2^2525344000 is an apocalyptic number.

2525344000 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 2525344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206974680).

2525344000 is an abundant number, since it is smaller than the sum of its proper divisors (3888605360).

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

2525344000 is an equidigital number, since it uses as much as digits as its factorization.

2525344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 2525344000 is about 50252.8009169638. The cubic root of 2525344000 is about 1361.7796770440.

Adding to 2525344000 its reverse (4435252), we get a palindrome (2529779252).

The spelling of 2525344000 in words is "two billion, five hundred twenty-five million, three hundred forty-four thousand".