2820027840 has 224 divisors, whose sum is σ = 10563538944. Its totient is φ = 623738880.

The previous prime is 2820027839. The next prime is 2820027857. The reversal of 2820027840 is 487200282.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

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, 201552 + ... + 215088.

It is an arithmetic number, because the mean of its divisors is an integer number (47158656).

Almost surely, 2^2820027840 is an apocalyptic number.

2820027840 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 2820027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5281769472).

2820027840 is an abundant number, since it is smaller than the sum of its proper divisors (7743511104).

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

2820027840 is a wasteful number, since it uses less digits than its factorization.

2820027840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13595 (or 13585 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 2820027840 is about 53103.9343175249. The cubic root of 2820027840 is about 1412.8122935982.

The spelling of 2820027840 in words is "two billion, eight hundred twenty million, twenty-seven thousand, eight hundred forty".