2142678528 has 240 divisors, whose sum is σ = 6652855440. Its totient is φ = 680841216.

The previous prime is 2142678511. The next prime is 2142678533. The reversal of 2142678528 is 8258762412.

2142678528 is a `hidden beast` number, since 21 + 42 + 67 + 8 + 528 = 666.

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 23 ways as a sum of consecutive naturals, for example, 7312750 + ... + 7313042.

It is an arithmetic number, because the mean of its divisors is an integer number (27720231).

Almost surely, 2^2142678528 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 2142678528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326427720).

2142678528 is an abundant number, since it is smaller than the sum of its proper divisors (4510176912).

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

2142678528 is an equidigital number, since it uses as much as digits as its factorization.

2142678528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 321 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 2142678528 is about 46289.0756874665. The cubic root of 2142678528 is about 1289.1961676848.

The spelling of 2142678528 in words is "two billion, one hundred forty-two million, six hundred seventy-eight thousand, five hundred twenty-eight".