2505350345344 has 128 divisors (see below), whose sum is σ = 6374478902400. Its totient is φ = 952302796800.

The previous prime is 2505350345341. The next prime is 2505350345347. The reversal of 2505350345344 is 4435430535052.

It is an interprime number because it is at equal distance from previous prime (2505350345341) and next prime (2505350345347).

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2505350345344.

It is not an unprimeable number, because it can be changed into a prime (2505350345341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2695849 + ... + 3504040.

It is an arithmetic number, because the mean of its divisors is an integer number (49800616425).

Almost surely, 2^{2505350345344} is an apocalyptic number.

It is an amenable number.

2505350345344 is an abundant number, since it is smaller than the sum of its proper divisors (3869128557056).

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

2505350345344 is a wasteful number, since it uses less digits than its factorization.

2505350345344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6199962 (or 6199950 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 43.

The spelling of 2505350345344 in words is "two trillion, five hundred five billion, three hundred fifty million, three hundred forty-five thousand, three hundred forty-four".