2505023202 has 128 divisors (see below), whose sum is σ = 6006804480. Its totient is φ = 687836160.

The previous prime is 2505023201. The next prime is 2505023237. The reversal of 2505023202 is 2023205052.

It is not an unprimeable number, because it can be changed into a prime (2505023201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3532824 + ... + 3533532.

It is an arithmetic number, because the mean of its divisors is an integer number (46928160).

Almost surely, 2^2505023202 is an apocalyptic number.

2505023202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505023202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003402240).

2505023202 is an abundant number, since it is smaller than the sum of its proper divisors (3501781278).

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

2505023202 is a wasteful number, since it uses less digits than its factorization.

2505023202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856.

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 2505023202 is about 50050.2068127595. The cubic root of 2505023202 is about 1358.1172046944.

Adding to 2505023202 its reverse (2023205052), we get a palindrome (4528228254).

The spelling of 2505023202 in words is "two billion, five hundred five million, twenty-three thousand, two hundred two".