2820491520 has 288 divisors, whose sum is σ = 11231861760. Its totient is φ = 586014720.

The previous prime is 2820491503. The next prime is 2820491567. The reversal of 2820491520 is 251940282.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290911 + ... + 300449.

It is an arithmetic number, because the mean of its divisors is an integer number (38999520).

Almost surely, 2^2820491520 is an apocalyptic number.

2820491520 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 2820491520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5615930880).

2820491520 is an abundant number, since it is smaller than the sum of its proper divisors (8411370240).

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

2820491520 is a wasteful number, since it uses less digits than its factorization.

2820491520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9581 (or 9567 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 2820491520 is about 53108.2999163031. The cubic root of 2820491520 is about 1412.8897227278.

The spelling of 2820491520 in words is "two billion, eight hundred twenty million, four hundred ninety-one thousand, five hundred twenty".