2763488 has 72 divisors (see below), whose sum is σ = 6825168. Its totient is φ = 1078272.

The previous prime is 2763487. The next prime is 2763491. The reversal of 2763488 is 8843672.

It is a super-2 number, since 2×2763488² = 15273731852288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2763487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37820 + ... + 37892.

It is an arithmetic number, because the mean of its divisors is an integer number (94794).

2^2763488 is an apocalyptic number.

2763488 is a gapful number since it is divisible by the number (28) 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 2763488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412584).

2763488 is an abundant number, since it is smaller than the sum of its proper divisors (4061680).

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

2763488 is a wasteful number, since it uses less digits than its factorization.

2763488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 95 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 2763488 is about 1662.3742057672. The cubic root of 2763488 is about 140.3306470462.

The spelling of 2763488 in words is "two million, seven hundred sixty-three thousand, four hundred eighty-eight".