2742768 has 80 divisors (see below), whose sum is σ = 9007360. Its totient is φ = 782784.

The previous prime is 2742757. The next prime is 2742769. The reversal of 2742768 is 8672472.

2742768 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

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.

2742768 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2571 + ... + 3477.

It is an arithmetic number, because the mean of its divisors is an integer number (112592).

2^2742768 is an apocalyptic number.

2742768 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 2742768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4503680).

2742768 is an abundant number, since it is smaller than the sum of its proper divisors (6264592).

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

2742768 is a wasteful number, since it uses less digits than its factorization.

2742768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 919 counting only the distinct ones).

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

The square root of 2742768 is about 1656.1304296462. The cubic root of 2742768 is about 139.9790444825.

It can be divided in two parts, 27427 and 68, that added together give a triangular number (27495 = T₂₃₄).

The spelling of 2742768 in words is "two million, seven hundred forty-two thousand, seven hundred sixty-eight".