2826720820 has 288 divisors, whose sum is σ = 8165646720. Its totient is φ = 809948160.

The previous prime is 2826720803. The next prime is 2826720823. The reversal of 2826720820 is 280276282.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 2826720820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2826720823) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7578154 + ... + 7578526.

It is an arithmetic number, because the mean of its divisors is an integer number (28352940).

Almost surely, 2^2826720820 is an apocalyptic number.

2826720820 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 2826720820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082823360).

2826720820 is an abundant number, since it is smaller than the sum of its proper divisors (5338925900).

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

2826720820 is a wasteful number, since it uses less digits than its factorization.

2826720820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 2826720820 is about 53166.9147120651. The cubic root of 2826720820 is about 1413.9291210428.

The spelling of 2826720820 in words is "two billion, eight hundred twenty-six million, seven hundred twenty thousand, eight hundred twenty".