2083910400 has 972 divisors, whose sum is σ = 9202733904. Its totient is φ = 446054400.

The previous prime is 2083910383. The next prime is 2083910407. The reversal of 2083910400 is 40193802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083910407) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 90604789 + ... + 90604811.

Almost surely, 2^2083910400 is an apocalyptic number.

2083910400 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 2083910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601366952).

2083910400 is an abundant number, since it is smaller than the sum of its proper divisors (7118823504).

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

2083910400 is a wasteful number, since it uses less digits than its factorization.

2083910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2083910400 is about 45649.8674696871. The cubic root of 2083910400 is about 1277.3002995376.

The spelling of 2083910400 in words is "two billion, eighty-three million, nine hundred ten thousand, four hundred".