2761488 has 60 divisors (see below), whose sum is σ = 7840768. Its totient is φ = 907200.

The previous prime is 2761481. The next prime is 2761489. The reversal of 2761488 is 8841672.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2¹⁵ + 7 + 6⁸ + 1 + 4¹⁰ + 8 + 8³ .

It is not an unprimeable number, because it can be changed into a prime (2761481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18213 + ... + 18363.

2^2761488 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 2761488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920384).

2761488 is an abundant number, since it is smaller than the sum of its proper divisors (5079280).

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

2761488 is a wasteful number, since it uses less digits than its factorization.

2761488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 283 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 2761488 is about 1661.7725476129. The cubic root of 2761488 is about 140.2967853674.

It can be divided in two parts, 2761 and 488, that added together give a square (3249 = 57²).

The spelling of 2761488 in words is "two million, seven hundred sixty-one thousand, four hundred eighty-eight".