2527380837252 has 96 divisors (see below), whose sum is σ = 6730343491200. Its totient is φ = 819595967616.

The previous prime is 2527380837227. The next prime is 2527380837259.

It is a happy number.

2527380837252 is a `hidden beast` number, since 2 + 5 + 2 + 7 + 380 + 8 + 3 + 7 + 252 = 666.

2527380837252 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2527380837259) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39820399 + ... + 39883817.

It is an arithmetic number, because the mean of its divisors is an integer number (70107744700).

Almost surely, 2^{2527380837252} 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 2527380837252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365171745600).

2527380837252 is an abundant number, since it is smaller than the sum of its proper divisors (4202962653948).

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

2527380837252 is a wasteful number, since it uses less digits than its factorization.

2527380837252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73442 (or 73434 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 2527380837252 in words is "two trillion, five hundred twenty-seven billion, three hundred eighty million, eight hundred thirty-seven thousand, two hundred fifty-two".