2527877952 has 126 divisors (see below), whose sum is σ = 7647758898. Its totient is φ = 798211584.

The previous prime is 2527877941. The next prime is 2527877959. The reversal of 2527877952 is 2597787252.

It can be written as a sum of positive squares in only one way, i.e., 1537894656 + 989983296 = 39216^2 + 31464^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2527877959) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 201858 + ... + 214014.

Almost surely, 2^2527877952 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 2527877952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823879449).

2527877952 is an abundant number, since it is smaller than the sum of its proper divisors (5119880946).

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

2527877952 is a wasteful number, since it uses less digits than its factorization.

2527877952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12213 (or 12181 counting only the distinct ones).

The product of its digits is 4939200, while the sum is 54.

The square root of 2527877952 is about 50278.0066430641. The cubic root of 2527877952 is about 1362.2349986200.

The spelling of 2527877952 in words is "two billion, five hundred twenty-seven million, eight hundred seventy-seven thousand, nine hundred fifty-two".