2142541000 has 32 divisors (see below), whose sum is σ = 5013548280. Its totient is φ = 857016000.

The previous prime is 2142540989. The next prime is 2142541033. The reversal of 2142541000 is 1452412.

It can be written as a sum of positive squares in 4 ways, for example, as 361532196 + 1781008804 = 19014^2 + 42202^2 .

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 7 ways as a sum of consecutive naturals, for example, 1070271 + ... + 1072270.

Almost surely, 2^2142541000 is an apocalyptic number.

2142541000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142541000 is an abundant number, since it is smaller than the sum of its proper divisors (2871007280).

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

2142541000 is a wasteful number, since it uses less digits than its factorization.

2142541000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142562 (or 2142548 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2142541000 is about 46287.5901295369. The cubic root of 2142541000 is about 1289.1685847068.

Adding to 2142541000 its reverse (1452412), we get a palindrome (2143993412).

The spelling of 2142541000 in words is "two billion, one hundred forty-two million, five hundred forty-one thousand".