2830821840 has 240 divisors, whose sum is σ = 11852919936. Its totient is φ = 588211200.

The previous prime is 2830821817. The next prime is 2830821841. The reversal of 2830821840 is 481280382.

It is a happy number.

2830821840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 2830821795 and 2830821804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2830821841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29910 + ... + 80970.

Almost surely, 2^2830821840 is an apocalyptic number.

2830821840 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 2830821840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5926459968).

2830821840 is an abundant number, since it is smaller than the sum of its proper divisors (9022098096).

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

2830821840 is a wasteful number, since it uses less digits than its factorization.

2830821840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51098 (or 51089 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2830821840 is about 53205.4681400324. The cubic root of 2830821840 is about 1414.6125689956.

The spelling of 2830821840 in words is "two billion, eight hundred thirty million, eight hundred twenty-one thousand, eight hundred forty".