2505346900 has 72 divisors (see below), whose sum is σ = 6231476160. Its totient is φ = 856458240.

The previous prime is 2505346867. The next prime is 2505346901. The reversal of 2505346900 is 96435052.

It is a super-2 number, since 2×2505346900² = 12553526178679220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505346901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242031 + ... + 252169.

It is an arithmetic number, because the mean of its divisors is an integer number (86548280).

Almost surely, 2^2505346900 is an apocalyptic number.

2505346900 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 2505346900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3115738080).

2505346900 is an abundant number, since it is smaller than the sum of its proper divisors (3726129260).

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

2505346900 is a wasteful number, since it uses less digits than its factorization.

2505346900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10513 (or 10506 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 2505346900 is about 50053.4404411925. The cubic root of 2505346900 is about 1358.1757006115.

The spelling of 2505346900 in words is "two billion, five hundred five million, three hundred forty-six thousand, nine hundred".