2981632 has 36 divisors (see below), whose sum is σ = 6275080. Its totient is φ = 1410048.

The previous prime is 2981597. The next prime is 2981653. The reversal of 2981632 is 2361892.

2981632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (5184) is a multiple of the sum of its prime factors (648).

It is a junction number, because it is equal to n+sod(n) for n = 2981594 and 2981603.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 4558 + ... + 5170.

2^2981632 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 2981632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137540).

2981632 is an abundant number, since it is smaller than the sum of its proper divisors (3293448).

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

2981632 is an equidigital number, since it uses as much as digits as its factorization.

2981632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 634 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 2981632 is about 1726.7402815710. The cubic root of 2981632 is about 143.9300071369.

The spelling of 2981632 in words is "two million, nine hundred eighty-one thousand, six hundred thirty-two".