2505320000 has 70 divisors (see below), whose sum is σ = 6212478558. Its totient is φ = 1002112000.

The previous prime is 2505319981. The next prime is 2505320003. The reversal of 2505320000 is 235052.

It can be written as a sum of positive squares in 5 ways, for example, as 1399358464 + 1105961536 = 37408^2 + 33256^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505320003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8684 + ... + 71316.

Almost surely, 2^2505320000 is an apocalyptic number.

2505320000 is a gapful number since it is divisible by the number (20) 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 2505320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106239279).

2505320000 is an abundant number, since it is smaller than the sum of its proper divisors (3707158558).

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

2505320000 is an frugal number, since it uses more digits than its factorization.

2505320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62665 (or 62640 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 2505320000 is about 50053.1717276738. The cubic root of 2505320000 is about 1358.1708396669.

Adding to 2505320000 its reverse (235052), we get a palindrome (2505555052).

The spelling of 2505320000 in words is "two billion, five hundred five million, three hundred twenty thousand".