2085408 has 72 divisors (see below), whose sum is σ = 6398028. Its totient is φ = 640512.

The previous prime is 2085379. The next prime is 2085409. The reversal of 2085408 is 8045802.

It can be written as a sum of positive squares in 2 ways, for example, as 1710864 + 374544 = 1308^2 + 612^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (2085409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3466 + ... + 4022.

2^2085408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199014).

2085408 is an abundant number, since it is smaller than the sum of its proper divisors (4312620).

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

2085408 is a wasteful number, since it uses less digits than its factorization.

2085408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2085408 is about 1444.0941797542. The cubic root of 2085408 is about 127.7606203106.

It can be divided in two parts, 208 and 5408, that multiplied together give a cube (1124864 = 104³).

The spelling of 2085408 in words is "two million, eighty-five thousand, four hundred eight".