2096828400 has 120 divisors (see below), whose sum is σ = 6843780720. Its totient is φ = 548587520.

The previous prime is 2096828387. The next prime is 2096828417. The reversal of 2096828400 is 48286902.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47116 + ... + 80084.

It is an arithmetic number, because the mean of its divisors is an integer number (57031506).

Almost surely, 2^2096828400 is an apocalyptic number.

2096828400 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 2096828400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421890360).

2096828400 is an abundant number, since it is smaller than the sum of its proper divisors (4746952320).

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

2096828400 is a wasteful number, since it uses less digits than its factorization.

2096828400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33043 (or 33032 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 2096828400 is about 45791.1388807922. The cubic root of 2096828400 is about 1279.9341600249.

The spelling of 2096828400 in words is "two billion, ninety-six million, eight hundred twenty-eight thousand, four hundred".