2761448382 has 128 divisors (see below), whose sum is σ = 7914931200. Its totient is φ = 692496000.

The previous prime is 2761448381. The next prime is 2761448399. The reversal of 2761448382 is 2838441672.

It is a happy number.

2761448382 is a `hidden beast` number, since 27 + 614 + 4 + 8 + 3 + 8 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2761448381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109132 + ... + 132032.

It is an arithmetic number, because the mean of its divisors is an integer number (61835400).

Almost surely, 2^2761448382 is an apocalyptic number.

2761448382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2761448382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957465600).

2761448382 is an abundant number, since it is smaller than the sum of its proper divisors (5153482818).

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

2761448382 is a wasteful number, since it uses less digits than its factorization.

2761448382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22959 (or 22953 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 2761448382 is about 52549.4850783526. The cubic root of 2761448382 is about 1402.9611443634.

The spelling of 2761448382 in words is "two billion, seven hundred sixty-one million, four hundred forty-eight thousand, three hundred eighty-two".