2075840 has 56 divisors (see below), whose sum is σ = 5334000. Its totient is φ = 764928.

The previous prime is 2075839. The next prime is 2075867. The reversal of 2075840 is 485702.

It is a super-2 number, since 2×2075840² = 8618223411200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

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, 3911 + ... + 4409.

It is an arithmetic number, because the mean of its divisors is an integer number (95250).

2^2075840 is an apocalyptic number.

2075840 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 2075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667000).

2075840 is an abundant number, since it is smaller than the sum of its proper divisors (3258160).

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

2075840 is a wasteful number, since it uses less digits than its factorization.

2075840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 2075840 is about 1440.7775678431. Note that the first 3 decimals coincide. The cubic root of 2075840 is about 127.5649291234.

Subtracting from 2075840 its product of nonzero digits (2240), we obtain a square (2073600 = 1440²).

The spelling of 2075840 in words is "two million, seventy-five thousand, eight hundred forty".