2427768 has 48 divisors (see below), whose sum is σ = 7516080. Its totient is φ = 693504.

The previous prime is 2427751. The next prime is 2427769. The reversal of 2427768 is 8677242.

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

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 2⁵ + 4⁵ + 2²¹ + 7² + 7⁵ + 6⁷ + 8⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2427769) 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, 1905 + ... + 2912.

It is an arithmetic number, because the mean of its divisors is an integer number (156585).

2^2427768 is an apocalyptic number.

2427768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2427768 is an abundant number, since it is smaller than the sum of its proper divisors (5088312).

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

2427768 is a wasteful number, since it uses less digits than its factorization.

2427768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4836 (or 4829 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 2427768 is about 1558.1296480075. The cubic root of 2427768 is about 134.4009672549.

The spelling of 2427768 in words is "two million, four hundred twenty-seven thousand, seven hundred sixty-eight".