2505600785010 has 64 divisors (see below), whose sum is σ = 6037415066880. Its totient is φ = 665501491200.

The previous prime is 2505600785003. The next prime is 2505600785011. The reversal of 2505600785010 is 105870065052.

2505600785010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2505600785010.

It is not an unprimeable number, because it can be changed into a prime (2505600785011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7941451 + ... + 8250929.

It is an arithmetic number, because the mean of its divisors is an integer number (94334610420).

Almost surely, 2^{2505600785010} is an apocalyptic number.

2505600785010 is an abundant number, since it is smaller than the sum of its proper divisors (3531814281870).

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

2505600785010 is a wasteful number, since it uses less digits than its factorization.

2505600785010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310563.

The product of its (nonzero) digits is 84000, while the sum is 39.

The spelling of 2505600785010 in words is "two trillion, five hundred five billion, six hundred million, seven hundred eighty-five thousand, ten".