2873640 has 128 divisors (see below), whose sum is σ = 10782720. Its totient is φ = 595200.

The previous prime is 2873623. The next prime is 2873641. The reversal of 2873640 is 463782.

2873640 = T₁₁₁ + T₁₁₂ + ... + T₂₆₄.

2873640 is digitally balanced in base 2 and base 5, because in such bases 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 a junction number, because it is equal to n+sod(n) for n = 2873598 and 2873607.

It is not an unprimeable number, because it can be changed into a prime (2873641) 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 31 ways as a sum of consecutive naturals, for example, 9085 + ... + 9395.

It is an arithmetic number, because the mean of its divisors is an integer number (84240).

2^2873640 is an apocalyptic number.

2873640 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 2873640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5391360).

2873640 is an abundant number, since it is smaller than the sum of its proper divisors (7909080).

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

2873640 is a wasteful number, since it uses less digits than its factorization.

2873640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2873640 is about 1695.1814062218. The cubic root of 2873640 is about 142.1709242441.

The spelling of 2873640 in words is "two million, eight hundred seventy-three thousand, six hundred forty".