2127664460 has 48 divisors (see below), whose sum is σ = 4865464800. Its totient is φ = 778466304.

The previous prime is 2127664453. The next prime is 2127664463. The reversal of 2127664460 is 644667212.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (2127664463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85517 + ... + 107556.

It is an arithmetic number, because the mean of its divisors is an integer number (101363850).

Almost surely, 2^2127664460 is an apocalyptic number.

2127664460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2127664460 is an abundant number, since it is smaller than the sum of its proper divisors (2737800340).

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

2127664460 is a wasteful number, since it uses less digits than its factorization.

2127664460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193130 (or 193128 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 2127664460 is about 46126.6133593179. The cubic root of 2127664460 is about 1286.1779102704.

The spelling of 2127664460 in words is "two billion, one hundred twenty-seven million, six hundred sixty-four thousand, four hundred sixty".