2529084100 has 81 divisors (see below), whose sum is σ = 5660260333. Its totient is φ = 980856160.

The previous prime is 2529084097. The next prime is 2529084109. The reversal of 2529084100 is 14809252.

The square root of 2529084100 is 50290.

It is a perfect power (a square), and thus also a powerful number.

2529084100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 910470276 + 1618613824 = 30174^2 + 40232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2529084109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23636247 + ... + 23636353.

Almost surely, 2^2529084100 is an apocalyptic number.

2529084100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2529084100 is the 50290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2529084100

2529084100 is an abundant number, since it is smaller than the sum of its proper divisors (3131176233).

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

2529084100 is a wasteful number, since it uses less digits than its factorization.

2529084100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The cubic root of 2529084100 is about 1362.4516224441.

The spelling of 2529084100 in words is "two billion, five hundred twenty-nine million, eighty-four thousand, one hundred".