2506438935 has 144 divisors (see below), whose sum is σ = 5938077600. Its totient is φ = 961390080.

The previous prime is 2506438933. The next prime is 2506438951. The reversal of 2506438935 is 5398346052.

2506438935 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 2506438935 - 2¹ = 2506438933 is a prime.

It is a super-2 number, since 2×2506438935² = 12564472269767868450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506438933) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 311341 + ... + 319289.

It is an arithmetic number, because the mean of its divisors is an integer number (41236650).

Almost surely, 2^2506438935 is an apocalyptic number.

2506438935 is an abundant number, since it is smaller than the sum of its proper divisors (3431638665).

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

2506438935 is a wasteful number, since it uses less digits than its factorization.

2506438935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7998 (or 7988 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 2506438935 is about 50064.3479434218. The cubic root of 2506438935 is about 1358.3730066155.

The spelling of 2506438935 in words is "two billion, five hundred six million, four hundred thirty-eight thousand, nine hundred thirty-five".