2505421200 has 120 divisors (see below), whose sum is σ = 8116221600. Its totient is φ = 660577280.

The previous prime is 2505421199. The next prime is 2505421241. The reversal of 2505421200 is 21245052.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95071 + ... + 118529.

It is an arithmetic number, because the mean of its divisors is an integer number (67635180).

Almost surely, 2^2505421200 is an apocalyptic number.

2505421200 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 2505421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4058110800).

2505421200 is an abundant number, since it is smaller than the sum of its proper divisors (5610800400).

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

2505421200 is a wasteful number, since it uses less digits than its factorization.

2505421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23569 (or 23558 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 2505421200 is about 50054.1826424126. The cubic root of 2505421200 is about 1358.1891267571.

Adding to 2505421200 its reverse (21245052), we get a palindrome (2526666252).

The spelling of 2505421200 in words is "two billion, five hundred five million, four hundred twenty-one thousand, two hundred".