2083110400 has 240 divisors, whose sum is σ = 6003651456. Its totient is φ = 701521920.

The previous prime is 2083110349. The next prime is 2083110401. The reversal of 2083110400 is 40113802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083110401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6003027 + ... + 6003373.

Almost surely, 2^2083110400 is an apocalyptic number.

2083110400 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 2083110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001825728).

2083110400 is an abundant number, since it is smaller than the sum of its proper divisors (3920541056).

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

2083110400 is an equidigital number, since it uses as much as digits as its factorization.

2083110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2083110400 is about 45641.1042811192. The cubic root of 2083110400 is about 1277.1368294532.

The spelling of 2083110400 in words is "two billion, eighty-three million, one hundred ten thousand, four hundred".