2142564480672 has 144 divisors (see below), whose sum is σ = 7137244189152. Its totient is φ = 556510241280.

The previous prime is 2142564480659. The next prime is 2142564480689. The reversal of 2142564480672 is 2760844652412.

It is a super-3 number, since 3×2142564480672³ (a number of 38 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 20651763 + ... + 20755250.

It is an arithmetic number, because the mean of its divisors is an integer number (49564195758).

Almost surely, 2^{2142564480672} is an apocalyptic number.

2142564480672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2142564480672 is an abundant number, since it is smaller than the sum of its proper divisors (4994679708480).

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

2142564480672 is a wasteful number, since it uses less digits than its factorization.

2142564480672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41407051 (or 41407036 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 51.

The spelling of 2142564480672 in words is "two trillion, one hundred forty-two billion, five hundred sixty-four million, four hundred eighty thousand, six hundred seventy-two".