2050416244800 has 1260 divisors, whose sum is σ = 9468240591040. Its totient is φ = 426037708800.

The previous prime is 2050416244787. The next prime is 2050416244823. The reversal of 2050416244800 is 84426140502.

2050416244800 is a `hidden beast` number, since 2 + 0 + 50 + 4 + 162 + 448 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 109761861 + ... + 109780539.

Almost surely, 2^{2050416244800} is an apocalyptic number.

2050416244800 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 2050416244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4734120295520).

2050416244800 is an abundant number, since it is smaller than the sum of its proper divisors (7417824346240).

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

2050416244800 is a wasteful number, since it uses less digits than its factorization.

2050416244800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18742 (or 18707 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 2050416244800 in words is "two trillion, fifty billion, four hundred sixteen million, two hundred forty-four thousand, eight hundred".