2506535632 has 60 divisors (see below), whose sum is σ = 5141044836. Its totient is φ = 1183703040.

The previous prime is 2506535617. The next prime is 2506535657. The reversal of 2506535632 is 2365356052.

It can be written as a sum of positive squares in 2 ways, for example, as 2410417216 + 96118416 = 49096^2 + 9804^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2506535591 and 2506535600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3702078 + ... + 3702754.

Almost surely, 2^2506535632 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 2506535632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570522418).

2506535632 is an abundant number, since it is smaller than the sum of its proper divisors (2634509204).

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

2506535632 is a wasteful number, since it uses less digits than its factorization.

2506535632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 37.

The square root of 2506535632 is about 50065.3136612565. The cubic root of 2506535632 is about 1358.3904748123.

The spelling of 2506535632 in words is "two billion, five hundred six million, five hundred thirty-five thousand, six hundred thirty-two".