2876640 has 96 divisors (see below), whose sum is σ = 9779616. Its totient is φ = 706560.

The previous prime is 2876611. The next prime is 2876647. The reversal of 2876640 is 466782.

2876640 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 (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2876647) 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 15 ways as a sum of consecutive naturals, for example, 6010 + ... + 6470.

It is an arithmetic number, because the mean of its divisors is an integer number (101871).

2^2876640 is an apocalyptic number.

2876640 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 2876640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4889808).

2876640 is an abundant number, since it is smaller than the sum of its proper divisors (6902976).

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

2876640 is a wasteful number, since it uses less digits than its factorization.

2876640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

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

The square root of 2876640 is about 1696.0660364502. The cubic root of 2876640 is about 142.2203811972.

The spelling of 2876640 in words is "two million, eight hundred seventy-six thousand, six hundred forty".