2148584641920 has 320 divisors, whose sum is σ = 7781067217440. Its totient is φ = 564885135360.

The previous prime is 2148584641873. The next prime is 2148584641927. The reversal of 2148584641920 is 291464858412.

2148584641920 is a `hidden beast` number, since 2 + 1 + 48 + 58 + 464 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148584641927) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3388764 + ... + 3972516.

Almost surely, 2^{2148584641920} is an apocalyptic number.

2148584641920 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 2148584641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890533608720).

2148584641920 is an abundant number, since it is smaller than the sum of its proper divisors (5632482575520).

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

2148584641920 is an equidigital number, since it uses as much as digits as its factorization.

2148584641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583855 (or 583834 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 2148584641920 in words is "two trillion, one hundred forty-eight billion, five hundred eighty-four million, six hundred forty-one thousand, nine hundred twenty".