2820579840 has 640 divisors, whose sum is σ = 11191783680. Its totient is φ = 668860416.

The previous prime is 2820579823. The next prime is 2820579841. The reversal of 2820579840 is 489750282.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820579841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38638044 + ... + 38638116.

It is an arithmetic number, because the mean of its divisors is an integer number (17487162).

Almost surely, 2^2820579840 is an apocalyptic number.

2820579840 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 2820579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5595891840).

2820579840 is an abundant number, since it is smaller than the sum of its proper divisors (8371203840).

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

2820579840 is a wasteful number, since it uses less digits than its factorization.

2820579840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2820579840 is about 53109.1314182411. The cubic root of 2820579840 is about 1412.9044701712.

It can be divided in two parts, 2820 and 579840, that added together give a triangular number (582660 = T₁₀₇₉).

The spelling of 2820579840 in words is "two billion, eight hundred twenty million, five hundred seventy-nine thousand, eight hundred forty".