2048385024000 has 1904 divisors, whose sum is σ = 8939461627200. Its totient is φ = 468202291200.

The previous prime is 2048385023879. The next prime is 2048385024013. The reversal of 2048385024000 is 4205838402.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 8! ⋅ (7!)² ⋅ 2!.

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 111 ways as a sum of consecutive naturals, for example, 292626431997 + ... + 292626432003.

Almost surely, 2^{2048385024000} is an apocalyptic number.

2048385024000 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 2048385024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4469730813600).

2048385024000 is an abundant number, since it is smaller than the sum of its proper divisors (6891076603200).

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

2048385024000 is an frugal number, since it uses more digits than its factorization.

2048385024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 17 counting only the distinct ones).

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

The spelling of 2048385024000 in words is "two trillion, forty-eight billion, three hundred eighty-five million, twenty-four thousand".