2145927168 has 540 divisors, whose sum is σ = 8158196592. Its totient is φ = 557383680.

The previous prime is 2145927151. The next prime is 2145927191. The reversal of 2145927168 is 8617295412.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 195084283 + ... + 195084293.

Almost surely, 2^2145927168 is an apocalyptic number.

2145927168 is a gapful number since it is divisible by the number (28) 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 2145927168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4079098296).

2145927168 is an abundant number, since it is smaller than the sum of its proper divisors (6012269424).

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

2145927168 is an frugal number, since it uses more digits than its factorization.

2145927168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 23 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 2145927168 is about 46324.1531816827. The cubic root of 2145927168 is about 1289.8473805382.

The spelling of 2145927168 in words is "two billion, one hundred forty-five million, nine hundred twenty-seven thousand, one hundred sixty-eight".