2083840 has 88 divisors (see below), whose sum is σ = 5600592. Its totient is φ = 737280.

The previous prime is 2083819. The next prime is 2083847. The reversal of 2083840 is 483802.

2083840 = 167² + 168² + ... + 221².

It is a tau number, because it is divible by the number of its divisors (88).

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56302 + ... + 56338.

2^2083840 is an apocalyptic number.

2083840 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 2083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800296).

2083840 is an abundant number, since it is smaller than the sum of its proper divisors (3516752).

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

2083840 is a wasteful number, since it uses less digits than its factorization.

2083840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2083840 is about 1443.5511767859. The cubic root of 2083840 is about 127.7285915849.

The spelling of 2083840 in words is "two million, eighty-three thousand, eight hundred forty".