2142878976 has 648 divisors, whose sum is σ = 8057693280. Its totient is φ = 564350976.

The previous prime is 2142878963. The next prime is 2142879031. The reversal of 2142878976 is 6798782412.

It is a happy number.

2142878976 is a `hidden beast` number, since 214 + 287 + 89 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57915630 + ... + 57915666.

Almost surely, 2^2142878976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142878976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028846640).

2142878976 is an abundant number, since it is smaller than the sum of its proper divisors (5914814304).

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

2142878976 is an equidigital number, since it uses as much as digits as its factorization.

2142878976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 68 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 2142878976 is about 46291.2408129227. The cubic root of 2142878976 is about 1289.2363679501.

The spelling of 2142878976 in words is "two billion, one hundred forty-two million, eight hundred seventy-eight thousand, nine hundred seventy-six".