2142127008 has 72 divisors (see below), whose sum is σ = 6961919328. Its totient is φ = 612035712.

The previous prime is 2142126971. The next prime is 2142127019. The reversal of 2142127008 is 8007212412.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 529266 + ... + 533297.

It is an arithmetic number, because the mean of its divisors is an integer number (96693324).

Almost surely, 2^2142127008 is an apocalyptic number.

2142127008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2142127008 is an abundant number, since it is smaller than the sum of its proper divisors (4819792320).

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

2142127008 is a wasteful number, since it uses less digits than its factorization.

2142127008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062586 (or 1062575 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2142127008 is about 46283.1179589275. The cubic root of 2142127008 is about 1289.0855462555.

The spelling of 2142127008 in words is "two billion, one hundred forty-two million, one hundred twenty-seven thousand, eight".