2081844960 has 384 divisors, whose sum is σ = 7413202944. Its totient is φ = 487710720.

The previous prime is 2081844937. The next prime is 2081844983. The reversal of 2081844960 is 694481802.

2081844960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2081844937) and next prime (2081844983).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 16392417 + ... + 16392543.

It is an arithmetic number, because the mean of its divisors is an integer number (19305216).

Almost surely, 2^2081844960 is an apocalyptic number.

2081844960 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 2081844960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706601472).

2081844960 is an abundant number, since it is smaller than the sum of its proper divisors (5331357984).

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

2081844960 is a wasteful number, since it uses less digits than its factorization.

2081844960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 2081844960 is about 45627.2392327215. The cubic root of 2081844960 is about 1276.8781669910.

The spelling of 2081844960 in words is "two billion, eighty-one million, eight hundred forty-four thousand, nine hundred sixty".