2084146628960 has 288 divisors, whose sum is σ = 5710025664000. Its totient is φ = 712787973120.

The previous prime is 2084146628957. The next prime is 2084146628987. The reversal of 2084146628960 is 698266414802.

It is a junction number, because it is equal to n+sod(n) for n = 2084146628896 and 2084146628905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88303241 + ... + 88326839.

It is an arithmetic number, because the mean of its divisors is an integer number (19826478000).

Almost surely, 2^{2084146628960} is an apocalyptic number.

2084146628960 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 2084146628960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855012832000).

2084146628960 is an abundant number, since it is smaller than the sum of its proper divisors (3625879035040).

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

2084146628960 is a wasteful number, since it uses less digits than its factorization.

2084146628960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23802 (or 23775 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 56.

The spelling of 2084146628960 in words is "two trillion, eighty-four billion, one hundred forty-six million, six hundred twenty-eight thousand, nine hundred sixty".