2048163840 has 256 divisors, whose sum is σ = 7297977600. Its totient is φ = 544997376.

The previous prime is 2048163839. The next prime is 2048163851. The reversal of 2048163840 is 483618402.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-3 number, since 3×2048163840³ (a number of 29 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2048163795 and 2048163804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4423449 + ... + 4423911.

It is an arithmetic number, because the mean of its divisors is an integer number (28507725).

Almost surely, 2^2048163840 is an apocalyptic number.

2048163840 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 2048163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648988800).

2048163840 is an abundant number, since it is smaller than the sum of its proper divisors (5249813760).

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

2048163840 is an frugal number, since it uses more digits than its factorization.

2048163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2048163840 is about 45256.6441530965. The cubic root of 2048163840 is about 1269.9547052273.

The spelling of 2048163840 in words is "two billion, forty-eight million, one hundred sixty-three thousand, eight hundred forty".