2148344640 has 448 divisors, whose sum is σ = 8438814720. Its totient is φ = 510935040.

The previous prime is 2148344633. The next prime is 2148344659. The reversal of 2148344640 is 464438412.

2148344640 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 3 + 4 + 4 + 640 = 666.

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 = 2148344595 and 2148344604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3481612 + ... + 3482228.

It is an arithmetic number, because the mean of its divisors is an integer number (18836640).

Almost surely, 2^2148344640 is an apocalyptic number.

2148344640 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 2148344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219407360).

2148344640 is an abundant number, since it is smaller than the sum of its proper divisors (6290470080).

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

2148344640 is a wasteful number, since it uses less digits than its factorization.

2148344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2148344640 is about 46350.2388343361. The cubic root of 2148344640 is about 1290.3315535010.

The spelling of 2148344640 in words is "two billion, one hundred forty-eight million, three hundred forty-four thousand, six hundred forty".