2826050083200 has 480 divisors, whose sum is σ = 10437711597720. Its totient is φ = 752965632000.

The previous prime is 2826050083091. The next prime is 2826050083217. The reversal of 2826050083200 is 23800506282.

2826050083200 is a `hidden beast` number, since 28 + 2 + 605 + 0 + 0 + 8 + 3 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 352767195 + ... + 352775205.

Almost surely, 2^{2826050083200} is an apocalyptic number.

2826050083200 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 2826050083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5218855798860).

2826050083200 is an abundant number, since it is smaller than the sum of its proper divisors (7611661514520).

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

2826050083200 is a wasteful number, since it uses less digits than its factorization.

2826050083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9408 (or 9382 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 2826050083200 its reverse (23800506282), we get a palindrome (2849850589482).

The spelling of 2826050083200 in words is "two trillion, eight hundred twenty-six billion, fifty million, eighty-three thousand, two hundred".