2096400 has 60 divisors (see below), whose sum is σ = 6719312. Its totient is φ = 558720.

The previous prime is 2096399. The next prime is 2096401. The reversal of 2096400 is 46902.

It is an interprime number because it is at equal distance from previous prime (2096399) and next prime (2096401).

It is a tau number, because it is divible by the number of its divisors (60).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2096401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327 + ... + 2073.

2^2096400 is an apocalyptic number.

2096400 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 2096400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359656).

2096400 is an abundant number, since it is smaller than the sum of its proper divisors (4622912).

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

2096400 is a wasteful number, since it uses less digits than its factorization.

2096400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2096400 is about 1447.8950238191. The cubic root of 2096400 is about 127.9846986918.

The spelling of 2096400 in words is "two million, ninety-six thousand, four hundred".