2763882 has 72 divisors (see below), whose sum is σ = 6971328. Its totient is φ = 819720.

The previous prime is 2763881. The next prime is 2763883. The reversal of 2763882 is 2883672.

It is a happy number.

2763882 is a `hidden beast` number, since 276 + 388 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2763881) and next prime (2763883).

It is a d-powerful number, because it can be written as 2¹⁷ + 7⁴ + 6⁴ + 3¹² + 8 + 8³ + 2²¹ .

Its product of digits (32256) is a multiple of the sum of its prime divisors (63).

It is not an unprimeable number, because it can be changed into a prime (2763881) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58783 + ... + 58829.

It is an arithmetic number, because the mean of its divisors is an integer number (96824).

2^2763882 is an apocalyptic number.

2763882 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 2763882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485664).

2763882 is an abundant number, since it is smaller than the sum of its proper divisors (4207446).

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

2763882 is a wasteful number, since it uses less digits than its factorization.

2763882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 63 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2763882 is about 1662.4927067509. The cubic root of 2763882 is about 140.3373158704.

The spelling of 2763882 in words is "two million, seven hundred sixty-three thousand, eight hundred eighty-two".