2167972884480 has 416 divisors, whose sum is σ = 7514926655040. Its totient is φ = 533621637120.

The previous prime is 2167972884457. The next prime is 2167972884481. The reversal of 2167972884480 is 844882797612.

It is a tau number, because it is divible by the number of its divisors (416).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2167972884481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134975650 + ... + 134991710.

Almost surely, 2^{2167972884480} is an apocalyptic number.

2167972884480 is a gapful number since it is divisible by the number (20) 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 2167972884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757463327520).

2167972884480 is an abundant number, since it is smaller than the sum of its proper divisors (5346953770560).

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

2167972884480 is an equidigital number, since it uses as much as digits as its factorization.

2167972884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16132 (or 16084 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 66.

The spelling of 2167972884480 in words is "two trillion, one hundred sixty-seven billion, nine hundred seventy-two million, eight hundred eighty-four thousand, four hundred eighty".