2148197760 has 384 divisors, whose sum is σ = 8108755200. Its totient is φ = 541956096.

The previous prime is 2148197743. The next prime is 2148197801. The reversal of 2148197760 is 677918412.

It is a happy number.

2148197760 is a `hidden beast` number, since 21 + 481 + 97 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2148197760² = 9229507232138035200, which 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2954517 + ... + 2955243.

It is an arithmetic number, because the mean of its divisors is an integer number (21116550).

Almost surely, 2^2148197760 is an apocalyptic number.

2148197760 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 2148197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054377600).

2148197760 is an abundant number, since it is smaller than the sum of its proper divisors (5960557440).

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

2148197760 is an equidigital number, since it uses as much as digits as its factorization.

2148197760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 756 counting only the distinct ones).

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

The square root of 2148197760 is about 46348.6543493983. The cubic root of 2148197760 is about 1290.3021466398.

The spelling of 2148197760 in words is "two billion, one hundred forty-eight million, one hundred ninety-seven thousand, seven hundred sixty".