2180934689472 has 1344 divisors, whose sum is σ = 8413703101440. Its totient is φ = 527503933440.

The previous prime is 2180934689431. The next prime is 2180934689473. The reversal of 2180934689472 is 2749864390812.

2180934689472 is a `hidden beast` number, since 2 + 1 + 80 + 9 + 3 + 4 + 6 + 89 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×2180934689472² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2180934689473) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7443462958 + ... + 7443463250.

It is an arithmetic number, because the mean of its divisors is an integer number (6260195760).

Almost surely, 2^{2180934689472} is an apocalyptic number.

2180934689472 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 2180934689472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206851550720).

2180934689472 is an abundant number, since it is smaller than the sum of its proper divisors (6232768411968).

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

2180934689472 is a wasteful number, since it uses less digits than its factorization.

2180934689472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 2180934689472 in words is "two trillion, one hundred eighty billion, nine hundred thirty-four million, six hundred eighty-nine thousand, four hundred seventy-two".