2667940 has 48 divisors (see below), whose sum is σ = 6237504. Its totient is φ = 950400.

The previous prime is 2667937. The next prime is 2667941. The reversal of 2667940 is 497662.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2667896 and 2667905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2667941) 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, 14650 + ... + 14830.

It is an arithmetic number, because the mean of its divisors is an integer number (129948).

2^2667940 is an apocalyptic number.

2667940 is a gapful number since it is divisible by the number (20) 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 2667940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118752).

2667940 is an abundant number, since it is smaller than the sum of its proper divisors (3569564).

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

2667940 is a wasteful number, since it uses less digits than its factorization.

2667940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 2667940 is about 1633.3829924424. The cubic root of 2667940 is about 138.6943233585.

The spelling of 2667940 in words is "two million, six hundred sixty-seven thousand, nine hundred forty".