2505308400 has 480 divisors, whose sum is σ = 10529484800. Its totient is φ = 553651200.

The previous prime is 2505308371. The next prime is 2505308413. The reversal of 2505308400 is 48035052.

2505308400 is a `hidden beast` number, since 2 + 50 + 530 + 84 + 0 + 0 = 666.

It is a super-2 number, since 2×2505308400² = 12553140358221120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2343066 + ... + 2344134.

Almost surely, 2^2505308400 is an apocalyptic number.

2505308400 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 2505308400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264742400).

2505308400 is an abundant number, since it is smaller than the sum of its proper divisors (8024176400).

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

2505308400 is a wasteful number, since it uses less digits than its factorization.

2505308400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2505308400 is about 50053.0558507670. The cubic root of 2505308400 is about 1358.1687434868.

The spelling of 2505308400 in words is "two billion, five hundred five million, three hundred eight thousand, four hundred".