2175801134416 has 480 divisors, whose sum is σ = 5491484522496. Its totient is φ = 827366400000.

The previous prime is 2175801134407. The next prime is 2175801134453. The reversal of 2175801134416 is 6144311085712.

It is a super-2 number, since 2×2175801134416² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 8668530291 + ... + 8668530541.

Almost surely, 2^{2175801134416} is an apocalyptic number.

2175801134416 is a gapful number since it is divisible by the number (26) 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 2175801134416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745742261248).

2175801134416 is an abundant number, since it is smaller than the sum of its proper divisors (3315683388080).

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

2175801134416 is a wasteful number, since it uses less digits than its factorization.

2175801134416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 2175801134416 in words is "two trillion, one hundred seventy-five billion, eight hundred one million, one hundred thirty-four thousand, four hundred sixteen".