2505357779990 has 64 divisors (see below), whose sum is σ = 5068755619200. Its totient is φ = 884649959424.

The previous prime is 2505357779983. The next prime is 2505357779999. The reversal of 2505357779990 is 999777535052.

It is a happy number.

2505357779990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2505357779990.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505357779999) 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, 14592566 + ... + 14763254.

It is an arithmetic number, because the mean of its divisors is an integer number (79199306550).

Almost surely, 2^{2505357779990} is an apocalyptic number.

2505357779990 is an abundant number, since it is smaller than the sum of its proper divisors (2563397839210).

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

2505357779990 is a wasteful number, since it uses less digits than its factorization.

2505357779990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175641.

The product of its (nonzero) digits is 187535250, while the sum is 68.

The spelling of 2505357779990 in words is "two trillion, five hundred five billion, three hundred fifty-seven million, seven hundred seventy-nine thousand, nine hundred ninety".