2505742635 has 16 divisors (see below), whose sum is σ = 4373660160. Its totient is φ = 1214905440.

The previous prime is 2505742609. The next prime is 2505742637. The reversal of 2505742635 is 5362475052.

It is a happy number.

2505742635 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2505742635 - 2⁶ = 2505742571 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2505742593 and 2505742602.

It is not an unprimeable number, because it can be changed into a prime (2505742637) 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, 7592995 + ... + 7593324.

It is an arithmetic number, because the mean of its divisors is an integer number (273353760).

Almost surely, 2^2505742635 is an apocalyptic number.

2505742635 is a deficient number, since it is larger than the sum of its proper divisors (1867917525).

2505742635 is a wasteful number, since it uses less digits than its factorization.

2505742635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15186338.

The product of its (nonzero) digits is 252000, while the sum is 39.

The square root of 2505742635 is about 50057.3934099649. The cubic root of 2505742635 is about 1358.2472075904.

The spelling of 2505742635 in words is "two billion, five hundred five million, seven hundred forty-two thousand, six hundred thirty-five".