2767842 has 48 divisors (see below), whose sum is σ = 7480512. Its totient is φ = 718560.

The previous prime is 2767829. The next prime is 2767871. The reversal of 2767842 is 2487672.

It is a super-3 number, since 3×2767842³ = 63612892004163335064, which contains 333 as substring.

It is a d-powerful number, because it can be written as 2 + 7⁴ + 6⁸ + 7⁷ + 8 + 4⁹ + 2⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 2767797 and 2767806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388 + ... + 2384.

It is an arithmetic number, because the mean of its divisors is an integer number (155844).

2^2767842 is an apocalyptic number.

2767842 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 2767842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3740256).

2767842 is an abundant number, since it is smaller than the sum of its proper divisors (4712670).

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

2767842 is a wasteful number, since it uses less digits than its factorization.

2767842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2020 counting only the distinct ones).

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

The square root of 2767842 is about 1663.6832631243. The cubic root of 2767842 is about 140.4043074628.

It can be divided in two parts, 276 and 7842, that added together give a palindrome (8118).

The spelling of 2767842 in words is "two million, seven hundred sixty-seven thousand, eight hundred forty-two".