2081215090000 has 100 divisors (see below), whose sum is σ = 5088721728420. Its totient is φ = 824243200000.

The previous prime is 2081215089983. The next prime is 2081215090013. The reversal of 2081215090000 is 905121802.

It can be written as a sum of positive squares in 10 ways, for example, as 1014588823824 + 1066626266176 = 1007268^2 + 1032776^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20305 + ... + 2040304.

Almost surely, 2^{2081215090000} is an apocalyptic number.

2081215090000 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 2081215090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544360864210).

2081215090000 is an abundant number, since it is smaller than the sum of its proper divisors (3007506638420).

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

2081215090000 is a wasteful number, since it uses less digits than its factorization.

2081215090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060738 (or 2060717 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The spelling of 2081215090000 in words is "two trillion, eighty-one billion, two hundred fifteen million, ninety thousand".