2059834022400 has 1920 divisors, whose sum is σ = 9201149945856. Its totient is φ = 393058713600.

The previous prime is 2059834022377. The next prime is 2059834022423. The reversal of 2059834022400 is 42204389502.

It is an interprime number because it is at equal distance from previous prime (2059834022377) and next prime (2059834022423).

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2161420324 + ... + 2161421276.

Almost surely, 2^{2059834022400} is an apocalyptic number.

2059834022400 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 2059834022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4600574972928).

2059834022400 is an abundant number, since it is smaller than the sum of its proper divisors (7141315923456).

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

2059834022400 is a wasteful number, since it uses less digits than its factorization.

2059834022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 2059834022400 in words is "two trillion, fifty-nine billion, eight hundred thirty-four million, twenty-two thousand, four hundred".