2145548160 has 384 divisors, whose sum is σ = 8554291200. Its totient is φ = 485388288.

The previous prime is 2145548147. The next prime is 2145548201. The reversal of 2145548160 is 618455412.

It is a happy number.

2145548160 is a `hidden beast` number, since 2 + 1 + 455 + 48 + 160 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5120431 + ... + 5120849.

It is an arithmetic number, because the mean of its divisors is an integer number (22276800).

Almost surely, 2^2145548160 is an apocalyptic number.

2145548160 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 2145548160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4277145600).

2145548160 is an abundant number, since it is smaller than the sum of its proper divisors (6408743040).

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

2145548160 is a wasteful number, since it uses less digits than its factorization.

2145548160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2145548160 is about 46320.0621761241. The cubic root of 2145548160 is about 1289.7714395857.

The spelling of 2145548160 in words is "two billion, one hundred forty-five million, five hundred forty-eight thousand, one hundred sixty".