1002542112 has 216 divisors, whose sum is σ = 3376301292. Its totient is φ = 280304640.

The previous prime is 1002542111. The next prime is 1002542113. The reversal of 1002542112 is 2112452001.

1002542112 is a `hidden beast` number, since 10 + 0 + 2 + 542 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (1002542111) and next prime (1002542113).

It can be written as a sum of positive squares in 2 ways, for example, as 978688656 + 23853456 = 31284^2 + 4884^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1002542111) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 451918 + ... + 454130.

Almost surely, 2^1002542112 is an apocalyptic number.

1002542112 is a gapful number since it is divisible by the number (12) 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 1002542112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688150646).

1002542112 is an abundant number, since it is smaller than the sum of its proper divisors (2373759180).

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

1002542112 is a wasteful number, since it uses less digits than its factorization.

1002542112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1002542112 is about 31662.9454094214. The cubic root of 1002542112 is about 1000.8466536420.

Adding to 1002542112 its reverse (2112452001), we get a palindrome (3114994113).

The spelling of 1002542112 in words is "one billion, two million, five hundred forty-two thousand, one hundred twelve".