2048931717120 has 672 divisors, whose sum is σ = 7512181657344. Its totient is φ = 515742105600.

The previous prime is 2048931717083. The next prime is 2048931717163. The reversal of 2048931717120 is 217171398402.

2048931717120 is a `hidden beast` number, since 2 + 0 + 489 + 31 + 7 + 17 + 120 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468539254 + ... + 468543626.

It is an arithmetic number, because the mean of its divisors is an integer number (11178841752).

Almost surely, 2^{2048931717120} is an apocalyptic number.

2048931717120 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 2048931717120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756090828672).

2048931717120 is an abundant number, since it is smaller than the sum of its proper divisors (5463249940224).

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

2048931717120 is a wasteful number, since it uses less digits than its factorization.

2048931717120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4482 (or 4455 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 2048931717120 in words is "two trillion, forty-eight billion, nine hundred thirty-one million, seven hundred seventeen thousand, one hundred twenty".