2142004246704 has 240 divisors, whose sum is σ = 7444227348480. Its totient is φ = 561087544320.

The previous prime is 2142004246691. The next prime is 2142004246721. The reversal of 2142004246704 is 4076424002412.

2142004246704 is a `hidden beast` number, since 21 + 4 + 200 + 424 + 6 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1210197 + ... + 2397620.

It is an arithmetic number, because the mean of its divisors is an integer number (31017613952).

Almost surely, 2^{2142004246704} is an apocalyptic number.

2142004246704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2142004246704 is an abundant number, since it is smaller than the sum of its proper divisors (5302223101776).

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

2142004246704 is a wasteful number, since it uses less digits than its factorization.

2142004246704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607888 (or 3607879 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 2142004246704 in words is "two trillion, one hundred forty-two billion, four million, two hundred forty-six thousand, seven hundred four".