2675640 has 64 divisors (see below), whose sum is σ = 8760960. Its totient is φ = 648320.

The previous prime is 2675633. The next prime is 2675653. The reversal of 2675640 is 465762.

2675640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2675598 and 2675607.

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 15 ways as a sum of consecutive naturals, for example, 307 + ... + 2333.

It is an arithmetic number, because the mean of its divisors is an integer number (136890).

2^2675640 is an apocalyptic number.

2675640 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 2675640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4380480).

2675640 is an abundant number, since it is smaller than the sum of its proper divisors (6085320).

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

2675640 is a wasteful number, since it uses less digits than its factorization.

2675640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2675640 is about 1635.7383653873. The cubic root of 2675640 is about 138.8276247729.

It can be divided in two parts, 26756 and 40, that added together give a triangular number (26796 = T₂₃₁).

The spelling of 2675640 in words is "two million, six hundred seventy-five thousand, six hundred forty".