2820487680 has 480 divisors, whose sum is σ = 10915819200. Its totient is φ = 668860416.

The previous prime is 2820487673. The next prime is 2820487687. The reversal of 2820487680 is 867840282.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2820487673) and next prime (2820487687).

It is a tau number, because it is divible by the number of its divisors (480).

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 (2820487687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7441731 + ... + 7442109.

It is an arithmetic number, because the mean of its divisors is an integer number (22741290).

Almost surely, 2^2820487680 is an apocalyptic number.

2820487680 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 2820487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5457909600).

2820487680 is an abundant number, since it is smaller than the sum of its proper divisors (8095331520).

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

2820487680 is a wasteful number, since it uses less digits than its factorization.

2820487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 2820487680 is about 53108.2637637496. The cubic root of 2820487680 is about 1412.8890815276.

The spelling of 2820487680 in words is "two billion, eight hundred twenty million, four hundred eighty-seven thousand, six hundred eighty".