2101632 has 64 divisors (see below), whose sum is σ = 6026160. Its totient is φ = 645120.

The previous prime is 2101621. The next prime is 2101651. The reversal of 2101632 is 2361012.

It is a tau number, because it is divible by the number of its divisors (64).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

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, 4782 + ... + 5202.

2^2101632 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 2101632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013080).

2101632 is an abundant number, since it is smaller than the sum of its proper divisors (3924528).

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

2101632 is a wasteful number, since it uses less digits than its factorization.

2101632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2101632 is about 1449.7006587568. The cubic root of 2101632 is about 128.0910810074.

Adding to 2101632 its reverse (2361012), we get a palindrome (4462644).

The spelling of 2101632 in words is "two million, one hundred one thousand, six hundred thirty-two".