2089829750400 has 1152 divisors, whose sum is σ = 8692860109440. Its totient is φ = 468202291200.

The previous prime is 2089829750377. The next prime is 2089829750417. The reversal of 2089829750400 is 40579289802.

2089829750400 is a `hidden beast` number, since 20 + 8 + 9 + 82 + 97 + 50 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3105244464 + ... + 3105245136.

Almost surely, 2^{2089829750400} is an apocalyptic number.

2089829750400 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 2089829750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346430054720).

2089829750400 is an abundant number, since it is smaller than the sum of its proper divisors (6603030359040).

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

2089829750400 is a wasteful number, since it uses less digits than its factorization.

2089829750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 2089829750400 in words is "two trillion, eighty-nine billion, eight hundred twenty-nine million, seven hundred fifty thousand, four hundred".