2525072000 has 128 divisors (see below), whose sum is σ = 6849161280. Its totient is φ = 918144000.

The previous prime is 2525071907. The next prime is 2525072009. The reversal of 2525072000 is 2705252.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2525072009) 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, 168827 + ... + 183173.

Almost surely, 2^2525072000 is an apocalyptic number.

2525072000 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 2525072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424580640).

2525072000 is an abundant number, since it is smaller than the sum of its proper divisors (4324089280).

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

2525072000 is a wasteful number, since it uses less digits than its factorization.

2525072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14387 (or 14365 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 2525072000 is about 50250.0945272743. The cubic root of 2525072000 is about 1361.7307837221.

Adding to 2525072000 its reverse (2705252), we get a palindrome (2527777252).

The spelling of 2525072000 in words is "two billion, five hundred twenty-five million, seventy-two thousand".