2081812824 has 288 divisors, whose sum is σ = 7438158000. Its totient is φ = 519934464.

The previous prime is 2081812801. The next prime is 2081812847. The reversal of 2081812824 is 4282181802.

It is an interprime number because it is at equal distance from previous prime (2081812801) and next prime (2081812847).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 870222 + ... + 872610.

Almost surely, 2^2081812824 is an apocalyptic number.

2081812824 is a gapful number since it is divisible by the number (24) 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 2081812824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719079000).

2081812824 is an abundant number, since it is smaller than the sum of its proper divisors (5356345176).

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

2081812824 is a wasteful number, since it uses less digits than its factorization.

2081812824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 2081812824 is about 45626.8870733036. The cubic root of 2081812824 is about 1276.8715968623.

The spelling of 2081812824 in words is "two billion, eighty-one million, eight hundred twelve thousand, eight hundred twenty-four".