2761332 has 48 divisors (see below), whose sum is σ = 7483392. Its totient is φ = 776160.

The previous prime is 2761307. The next prime is 2761333. The reversal of 2761332 is 2331672.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2¹⁷ + 7³ + 6⁴ + 1 + 3³ + 3¹² + 2²¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2761333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5733 + ... + 6195.

It is an arithmetic number, because the mean of its divisors is an integer number (155904).

2^2761332 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 2761332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3741696).

2761332 is an abundant number, since it is smaller than the sum of its proper divisors (4722060).

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

2761332 is a wasteful number, since it uses less digits than its factorization.

2761332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 546 counting only the distinct ones).

The product of its digits is 1512, while the sum is 24.

The square root of 2761332 is about 1661.7256091184. The cubic root of 2761332 is about 140.2941434692.

The spelling of 2761332 in words is "two million, seven hundred sixty-one thousand, three hundred thirty-two".