2601632 has 48 divisors (see below), whose sum is σ = 5896800. Its totient is φ = 1117440.

The previous prime is 2601617. The next prime is 2601661. The reversal of 2601632 is 2361062.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6494 + ... + 6882.

It is an arithmetic number, because the mean of its divisors is an integer number (122850).

2^2601632 is an apocalyptic number.

2601632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2601632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948400).

2601632 is an abundant number, since it is smaller than the sum of its proper divisors (3295168).

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

2601632 is a wasteful number, since it uses less digits than its factorization.

2601632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2601632 is about 1612.9575319890. The cubic root of 2601632 is about 137.5356513615.

Adding to 2601632 its reverse (2361062), we get a palindrome (4962694).

The spelling of 2601632 in words is "two million, six hundred one thousand, six hundred thirty-two".