2674640 has 40 divisors (see below), whose sum is σ = 6324000. Its totient is φ = 1051776.

The previous prime is 2674631. The next prime is 2674673. The reversal of 2674640 is 464762.

2674640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5111 + ... + 5609.

It is an arithmetic number, because the mean of its divisors is an integer number (158100).

2^2674640 is an apocalyptic number.

2674640 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 2674640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162000).

2674640 is an abundant number, since it is smaller than the sum of its proper divisors (3649360).

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

2674640 is a wasteful number, since it uses less digits than its factorization.

2674640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 2674640 is about 1635.4326644653. The cubic root of 2674640 is about 138.8103273632.

The spelling of 2674640 in words is "two million, six hundred seventy-four thousand, six hundred forty".