2830101820 has 144 divisors (see below), whose sum is σ = 7490423808. Its totient is φ = 890265600.

The previous prime is 2830101797. The next prime is 2830101823. The reversal of 2830101820 is 281010382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2830101823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2458245 + ... + 2459395.

It is an arithmetic number, because the mean of its divisors is an integer number (52016832).

Almost surely, 2^2830101820 is an apocalyptic number.

2830101820 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 2830101820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745211904).

2830101820 is an abundant number, since it is smaller than the sum of its proper divisors (4660321988).

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

2830101820 is a wasteful number, since it uses less digits than its factorization.

2830101820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 2830101820 is about 53198.7012999378. The cubic root of 2830101820 is about 1414.4926231792.

The spelling of 2830101820 in words is "two billion, eight hundred thirty million, one hundred one thousand, eight hundred twenty".