2505044016 has 80 divisors (see below), whose sum is σ = 7261722720. Its totient is φ = 826732800.

The previous prime is 2505043973. The next prime is 2505044033. The reversal of 2505044016 is 6104405052.

2505044016 is a `hidden beast` number, since 250 + 5 + 0 + 4 + 401 + 6 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14926 + ... + 72338.

It is an arithmetic number, because the mean of its divisors is an integer number (90771534).

Almost surely, 2^2505044016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505044016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630861360).

2505044016 is an abundant number, since it is smaller than the sum of its proper divisors (4756678704).

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

2505044016 is a wasteful number, since it uses less digits than its factorization.

2505044016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57531 (or 57519 counting only the distinct ones).

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

The square root of 2505044016 is about 50050.4147435363. The cubic root of 2505044016 is about 1358.1209661730.

Adding to 2505044016 its reverse (6104405052), we get a palindrome (8609449068).

The spelling of 2505044016 in words is "two billion, five hundred five million, forty-four thousand, sixteen".