2506632 has 64 divisors (see below), whose sum is σ = 6912000. Its totient is φ = 753984.

The previous prime is 2506631. The next prime is 2506643. The reversal of 2506632 is 2366052.

2506632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2506631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10369 + ... + 10607.

It is an arithmetic number, because the mean of its divisors is an integer number (108000).

2^2506632 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 2506632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456000).

2506632 is an abundant number, since it is smaller than the sum of its proper divisors (4405368).

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

2506632 is a wasteful number, since it uses less digits than its factorization.

2506632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2506632 is about 1583.2346635922. The cubic root of 2506632 is about 135.8407883129.

The spelling of 2506632 in words is "two million, five hundred six thousand, six hundred thirty-two".