2506435936 has 48 divisors (see below), whose sum is σ = 5248088496. Its totient is φ = 1174245376.

The previous prime is 2506435931. The next prime is 2506435949. The reversal of 2506435936 is 6395346052.

It is a super-2 number, since 2×2506435936² = 12564442202544392192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2506435892 and 2506435901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506435931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113340 + ... + 133636.

It is an arithmetic number, because the mean of its divisors is an integer number (109335177).

Almost surely, 2^2506435936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506435936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624044248).

2506435936 is an abundant number, since it is smaller than the sum of its proper divisors (2741652560).

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

2506435936 is a wasteful number, since it uses less digits than its factorization.

2506435936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20551 (or 20543 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 43.

The square root of 2506435936 is about 50064.3179919591. The cubic root of 2506435936 is about 1358.3724648426.

The spelling of 2506435936 in words is "two billion, five hundred six million, four hundred thirty-five thousand, nine hundred thirty-six".