2082901083120 has 1920 divisors, whose sum is σ = 9065762611200. Its totient is φ = 434759270400.

The previous prime is 2082901083119. The next prime is 2082901083121. The reversal of 2082901083120 is 213801092802.

It is an interprime number because it is at equal distance from previous prime (2082901083119) and next prime (2082901083121).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082901083121) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3609880272 + ... + 3609880848.

It is an arithmetic number, because the mean of its divisors is an integer number (4721751360).

Almost surely, 2^{2082901083120} is an apocalyptic number.

2082901083120 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 2082901083120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532881305600).

2082901083120 is an abundant number, since it is smaller than the sum of its proper divisors (6982861528080).

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

2082901083120 is a wasteful number, since it uses less digits than its factorization.

2082901083120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 2082901083120 in words is "two trillion, eighty-two billion, nine hundred one million, eighty-three thousand, one hundred twenty".