2505141200 has 60 divisors (see below), whose sum is σ = 6031051488. Its totient is φ = 999984000.

The previous prime is 2505141161. The next prime is 2505141251. The reversal of 2505141200 is 21415052.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194975 + ... + 207425.

Almost surely, 2^2505141200 is an apocalyptic number.

2505141200 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 2505141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015525744).

2505141200 is an abundant number, since it is smaller than the sum of its proper divisors (3525910288).

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

2505141200 is a wasteful number, since it uses less digits than its factorization.

2505141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12972 (or 12961 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 2505141200 is about 50051.3855952061. The cubic root of 2505141200 is about 1358.1385288612.

Adding to 2505141200 its reverse (21415052), we get a palindrome (2526556252).

The spelling of 2505141200 in words is "two billion, five hundred five million, one hundred forty-one thousand, two hundred".