2505202704 has 135 divisors (see below), whose sum is σ = 7252690653. Its totient is φ = 807238656.

The previous prime is 2505202691. The next prime is 2505202723. The reversal of 2505202704 is 4072025052.

The square root of 2505202704 is 50052.

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

It can be written as a sum of positive squares in only one way, i.e., 1124931600 + 1380271104 = 33540^2 + 37152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25826784 + ... + 25826880.

Almost surely, 2^2505202704 is an apocalyptic number.

2505202704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2505202704 is the 50052-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505202704

2505202704 is an abundant number, since it is smaller than the sum of its proper divisors (4747487949).

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

2505202704 is an equidigital number, since it uses as much as digits as its factorization.

2505202704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The cubic root of 2505202704 is about 1358.1496433735.

Adding to 2505202704 its reverse (4072025052), we get a palindrome (6577227756).

It can be divided in two parts, 2505 and 202704, that added together give a square (205209 = 453²).

The spelling of 2505202704 in words is "two billion, five hundred five million, two hundred two thousand, seven hundred four".