2733632 has 42 divisors (see below), whose sum is σ = 5979414. Its totient is φ = 1239040.

The previous prime is 2733629. The next prime is 2733649. The reversal of 2733632 is 2363372.

It can be written as a sum of positive squares in only one way, i.e., 2238016 + 495616 = 1496^2 + 704^2 .

It is a super-2 number, since 2×2733632² = 14945487822848, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2⁹ + 7⁶ + 3⁷ + 3¹⁰ + 6⁷ + 3¹¹ + 2²¹ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7568 + ... + 7920.

It is an arithmetic number, because the mean of its divisors is an integer number (142367).

2^2733632 is an apocalyptic number.

2733632 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 2733632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989707).

2733632 is an abundant number, since it is smaller than the sum of its proper divisors (3245782).

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

2733632 is a wasteful number, since it uses less digits than its factorization.

2733632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 366 counting only the distinct ones).

The product of its digits is 4536, while the sum is 26.

The square root of 2733632 is about 1653.3698920689. The cubic root of 2733632 is about 139.8234509231.

The spelling of 2733632 in words is "two million, seven hundred thirty-three thousand, six hundred thirty-two".