2667840 has 112 divisors (see below), whose sum is σ = 9704832. Its totient is φ = 608256.

The previous prime is 2667799. The next prime is 2667851. The reversal of 2667840 is 487662.

It is a tau number, because it is divible by the number of its divisors (112).

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, 6522 + ... + 6918.

2^2667840 is an apocalyptic number.

2667840 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 2667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4852416).

2667840 is an abundant number, since it is smaller than the sum of its proper divisors (7036992).

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

2667840 is a wasteful number, since it uses less digits than its factorization.

2667840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2667840 is about 1633.3523808413. The cubic root of 2667840 is about 138.6925904852.

The spelling of 2667840 in words is "two million, six hundred sixty-seven thousand, eight hundred forty".