2529779252 has 216 divisors, whose sum is σ = 6245582112. Its totient is φ = 885830400.

The previous prime is 2529779249. The next prime is 2529779267.

It is a happy number.

2529779252 is nontrivially palindromic in base 10.

2529779252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2529779252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19311227 + ... + 19311357.

It is an arithmetic number, because the mean of its divisors is an integer number (28914732).

Almost surely, 2^2529779252 is an apocalyptic number.

2529779252 is a gapful number since it is divisible by the number (22) 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 2529779252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122791056).

2529779252 is an abundant number, since it is smaller than the sum of its proper divisors (3715802860).

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

2529779252 is a wasteful number, since it uses less digits than its factorization.

2529779252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 217 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 50.

The square root of 2529779252 is about 50296.9109588253. The cubic root of 2529779252 is about 1362.5764402531.

The spelling of 2529779252 in words is "two billion, five hundred twenty-nine million, seven hundred seventy-nine thousand, two hundred fifty-two".