2887640 has 32 divisors (see below), whose sum is σ = 7426080. Its totient is φ = 989952.

The previous prime is 2887631. The next prime is 2887649. The reversal of 2887640 is 467882.

2887640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2887631) and next prime (2887649).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2887640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2887649) 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 7 ways as a sum of consecutive naturals, for example, 4877 + ... + 5436.

It is an arithmetic number, because the mean of its divisors is an integer number (232065).

2^2887640 is an apocalyptic number.

2887640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2887640 is an abundant number, since it is smaller than the sum of its proper divisors (4538440).

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

2887640 is a wasteful number, since it uses less digits than its factorization.

2887640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10331 (or 10327 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 2887640 is about 1699.3057405894. The cubic root of 2887640 is about 142.4014297294.

The spelling of 2887640 in words is "two million, eight hundred eighty-seven thousand, six hundred forty".