2027152960 has 112 divisors (see below), whose sum is σ = 5544190080. Its totient is φ = 691568640.

The previous prime is 2027152949. The next prime is 2027152993. The reversal of 2027152960 is 692517202.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 470496 + ... + 474784.

Almost surely, 2^2027152960 is an apocalyptic number.

2027152960 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 2027152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772095040).

2027152960 is an abundant number, since it is smaller than the sum of its proper divisors (3517037120).

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

2027152960 is a wasteful number, since it uses less digits than its factorization.

2027152960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524 (or 4514 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 2027152960 is about 45023.9154228061. The cubic root of 2027152960 is about 1265.5972037872.

The spelling of 2027152960 in words is "two billion, twenty-seven million, one hundred fifty-two thousand, nine hundred sixty".