2142142528 has 112 divisors (see below), whose sum is σ = 4670023680. Its totient is φ = 970776576.

The previous prime is 2142142487. The next prime is 2142142529. The reversal of 2142142528 is 8252412412.

It is a happy number.

It is a super-2 number, since 2×2142142528² = 9177549220532461568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2142142528.

It is not an unprimeable number, because it can be changed into a prime (2142142529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5112303 + ... + 5112721.

It is an arithmetic number, because the mean of its divisors is an integer number (41696640).

Almost surely, 2^2142142528 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 2142142528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335011840).

2142142528 is an abundant number, since it is smaller than the sum of its proper divisors (2527881152).

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

2142142528 is a wasteful number, since it uses less digits than its factorization.

2142142528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 602 counting only the distinct ones).

The product of its digits is 10240, while the sum is 31.

The square root of 2142142528 is about 46283.2856223497. The cubic root of 2142142528 is about 1289.0886594477.

The spelling of 2142142528 in words is "two billion, one hundred forty-two million, one hundred forty-two thousand, five hundred twenty-eight".