2538252288 has 480 divisors, whose sum is σ = 8990261280. Its totient is φ = 703365120.

The previous prime is 2538252287. The next prime is 2538252307. The reversal of 2538252288 is 8822528352.

It is not an unprimeable number, because it can be changed into a prime (2538252287) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 23721931 + ... + 23722037.

It is an arithmetic number, because the mean of its divisors is an integer number (18729711).

Almost surely, 2^2538252288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2538252288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4495130640).

2538252288 is an abundant number, since it is smaller than the sum of its proper divisors (6452008992).

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

2538252288 is a wasteful number, since it uses less digits than its factorization.

2538252288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 136 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 2538252288 is about 50381.0707309799. The cubic root of 2538252288 is about 1364.0959791195.

The spelling of 2538252288 in words is "two billion, five hundred thirty-eight million, two hundred fifty-two thousand, two hundred eighty-eight".