2653740 has 72 divisors (see below), whose sum is σ = 8412768. Its totient is φ = 675840.

The previous prime is 2653733. The next prime is 2653741. The reversal of 2653740 is 473562.

It is a happy number.

2653740 is a `hidden beast` number, since 2 + 653 + 7 + 4 + 0 = 666.

2653740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2653741) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3820 + ... + 4460.

It is an arithmetic number, because the mean of its divisors is an integer number (116844).

2^2653740 is an apocalyptic number.

2653740 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 2653740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206384).

2653740 is an abundant number, since it is smaller than the sum of its proper divisors (5759028).

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

2653740 is a wasteful number, since it uses less digits than its factorization.

2653740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2653740 is about 1629.0303864569. The cubic root of 2653740 is about 138.4478205783.

It can be divided in two parts, 265 and 3740, that added together give a triangular number (4005 = T₈₉).

The spelling of 2653740 in words is "two million, six hundred fifty-three thousand, seven hundred forty".