2048000928480 has 1728 divisors, whose sum is σ = 8319239405568. Its totient is φ = 472845496320.

The previous prime is 2048000928439. The next prime is 2048000928481. The reversal of 2048000928480 is 848290008402.

It is a happy number.

2048000928480 is a `hidden beast` number, since 2 + 0 + 4 + 80 + 0 + 0 + 92 + 8 + 480 = 666.

It is a super-2 number, since 2×2048000928480² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048000928481) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19883504109 + ... + 19883504211.

It is an arithmetic number, because the mean of its divisors is an integer number (4814374656).

Almost surely, 2^{2048000928480} is an apocalyptic number.

2048000928480 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 2048000928480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159619702784).

2048000928480 is an abundant number, since it is smaller than the sum of its proper divisors (6271238477088).

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

2048000928480 is a wasteful number, since it uses less digits than its factorization.

2048000928480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 2048000928480 in words is "two trillion, forty-eight billion, nine hundred twenty-eight thousand, four hundred eighty".