2505784320 has 528 divisors, whose sum is σ = 9656599680. Its totient is φ = 596901888.

The previous prime is 2505784283. The next prime is 2505784361. The reversal of 2505784320 is 234875052.

2505784320 is a `hidden beast` number, since 2 + 50 + 578 + 4 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28154836 + ... + 28154924.

Almost surely, 2^2505784320 is an apocalyptic number.

2505784320 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 2505784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828299840).

2505784320 is an abundant number, since it is smaller than the sum of its proper divisors (7150815360).

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

2505784320 is a wasteful number, since it uses less digits than its factorization.

2505784320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2505784320 is about 50057.8097802930. The cubic root of 2505784320 is about 1358.2547393856.

The spelling of 2505784320 in words is "two billion, five hundred five million, seven hundred eighty-four thousand, three hundred twenty".