2167084008320 has 512 divisors, whose sum is σ = 6904398735360. Its totient is φ = 630315417600.

The previous prime is 2167084008259. The next prime is 2167084008371. The reversal of 2167084008320 is 238004807612.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46447724 + ... + 46494356.

It is an arithmetic number, because the mean of its divisors is an integer number (13485153780).

Almost surely, 2^{2167084008320} is an apocalyptic number.

2167084008320 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 2167084008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3452199367680).

2167084008320 is an abundant number, since it is smaller than the sum of its proper divisors (4737314727040).

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

2167084008320 is a wasteful number, since it uses less digits than its factorization.

2167084008320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46734 (or 46722 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 2167084008320 in words is "two trillion, one hundred sixty-seven billion, eighty-four million, eight thousand, three hundred twenty".