2083256246400 has 2304 divisors, whose sum is σ = 8877317529600. Its totient is φ = 426398515200.

The previous prime is 2083256246387. The next prime is 2083256246417. The reversal of 2083256246400 is 46426523802.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20225788749 + ... + 20225788851.

It is an arithmetic number, because the mean of its divisors is an integer number (3853002400).

Almost surely, 2^{2083256246400} is an apocalyptic number.

2083256246400 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 2083256246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4438658764800).

2083256246400 is an abundant number, since it is smaller than the sum of its proper divisors (6794061283200).

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

2083256246400 is a wasteful number, since it uses less digits than its factorization.

2083256246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 2083256246400 in words is "two trillion, eighty-three billion, two hundred fifty-six million, two hundred forty-six thousand, four hundred".