2667742 has 32 divisors (see below), whose sum is σ = 5287680. Its totient is φ = 977280.

The previous prime is 2667727. The next prime is 2667757. The reversal of 2667742 is 2477662.

It is an interprime number because it is at equal distance from previous prime (2667727) and next prime (2667757).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 2667698 and 2667707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2109 + ... + 3127.

It is an arithmetic number, because the mean of its divisors is an integer number (165240).

2^2667742 is an apocalyptic number.

2667742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2667742 is a deficient number, since it is larger than the sum of its proper divisors (2619938).

2667742 is a wasteful number, since it uses less digits than its factorization.

2667742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056.

The product of its digits is 28224, while the sum is 34.

The square root of 2667742 is about 1633.3223809157. The cubic root of 2667742 is about 138.6908922274.

It can be divided in two parts, 266 and 7742, that added together give a palindrome (8008).

The spelling of 2667742 in words is "two million, six hundred sixty-seven thousand, seven hundred forty-two".