2082044400 has 120 divisors (see below), whose sum is σ = 7061873904. Its totient is φ = 522547200.

The previous prime is 2082044347. The next prime is 2082044467. The reversal of 2082044400 is 44402802.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30631 + ... + 71430.

Almost surely, 2^2082044400 is an apocalyptic number.

2082044400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2082044400 is an abundant number, since it is smaller than the sum of its proper divisors (4979829504).

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

2082044400 is a wasteful number, since it uses less digits than its factorization.

2082044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102099 (or 102088 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2082044400 is about 45629.4247169521. The cubic root of 2082044400 is about 1276.9189405124.

The spelling of 2082044400 in words is "two billion, eighty-two million, forty-four thousand, four hundred".