2127656160 has 480 divisors, whose sum is σ = 8781696000. Its totient is φ = 475020288.

The previous prime is 2127656123. The next prime is 2127656197. The reversal of 2127656160 is 616567212.

It is a happy number.

2127656160 is a `hidden beast` number, since 21 + 2 + 76 + 561 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2127656123) and next prime (2127656197).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4263591 + ... + 4264089.

It is an arithmetic number, because the mean of its divisors is an integer number (18295200).

Almost surely, 2^2127656160 is an apocalyptic number.

2127656160 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 2127656160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390848000).

2127656160 is an abundant number, since it is smaller than the sum of its proper divisors (6654039840).

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

2127656160 is a wasteful number, since it uses less digits than its factorization.

2127656160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2127656160 is about 46126.5233894773. The cubic root of 2127656160 is about 1286.1762378121.

The spelling of 2127656160 in words is "two billion, one hundred twenty-seven million, six hundred fifty-six thousand, one hundred sixty".