2532627768 has 288 divisors, whose sum is σ = 7756847280. Its totient is φ = 685977600.

The previous prime is 2532627767. The next prime is 2532627809. The reversal of 2532627768 is 8677262352.

It is a happy number.

It is a super-2 number, since 2×2532627768² = 12828406822489323648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2532627761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41518458 + ... + 41518518.

Almost surely, 2^2532627768 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 2532627768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878423640).

2532627768 is an abundant number, since it is smaller than the sum of its proper divisors (5224219512).

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

2532627768 is a wasteful number, since it uses less digits than its factorization.

2532627768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 123 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 48.

The square root of 2532627768 is about 50325.2199995191. The cubic root of 2532627768 is about 1363.0876660076.

The spelling of 2532627768 in words is "two billion, five hundred thirty-two million, six hundred twenty-seven thousand, seven hundred sixty-eight".