2142824698872 has 960 divisors, whose sum is σ = 7295849241120. Its totient is φ = 587119104000.

The previous prime is 2142824698799. The next prime is 2142824698879. The reversal of 2142824698872 is 2788964282412.

2142824698872 is a `hidden beast` number, since 2 + 1 + 4 + 28 + 2 + 469 + 88 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142824698879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8891388672 + ... + 8891388912.

Almost surely, 2^{2142824698872} is an apocalyptic number.

2142824698872 is a gapful number since it is divisible by the number (22) 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 2142824698872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647924620560).

2142824698872 is an abundant number, since it is smaller than the sum of its proper divisors (5153024542248).

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

2142824698872 is a wasteful number, since it uses less digits than its factorization.

2142824698872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 331 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 63.

The spelling of 2142824698872 in words is "two trillion, one hundred forty-two billion, eight hundred twenty-four million, six hundred ninety-eight thousand, eight hundred seventy-two".