2039808384000 has 1056 divisors, whose sum is σ = 7929677770560. Its totient is φ = 502530048000.

The previous prime is 2039808383983. The next prime is 2039808384023. The reversal of 2039808384000 is 4838089302.

2039808384000 is a `hidden beast` number, since 203 + 9 + 8 + 0 + 8 + 38 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 897406864 + ... + 897409136.

Almost surely, 2^{2039808384000} is an apocalyptic number.

2039808384000 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 2039808384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964838885280).

2039808384000 is an abundant number, since it is smaller than the sum of its proper divisors (5889869386560).

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

2039808384000 is a wasteful number, since it uses less digits than its factorization.

2039808384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 2039808384000 in words is "two trillion, thirty-nine billion, eight hundred eight million, three hundred eighty-four thousand".