2084640 has 96 divisors (see below), whose sum is σ = 6785856. Its totient is φ = 537600.

The previous prime is 2084639. The next prime is 2084653. The reversal of 2084640 is 464802.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2084640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20590 + ... + 20690.

It is an arithmetic number, because the mean of its divisors is an integer number (70686).

2^2084640 is an apocalyptic number.

2084640 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 2084640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392928).

2084640 is an abundant number, since it is smaller than the sum of its proper divisors (4701216).

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

2084640 is a wasteful number, since it uses less digits than its factorization.

2084640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2084640 is about 1443.8282446330. The cubic root of 2084640 is about 127.7449347782.

The spelling of 2084640 in words is "two million, eighty-four thousand, six hundred forty".