2820480000 has 440 divisors, whose sum is σ = 10206145488. Its totient is φ = 688128000.

The previous prime is 2820479969. The next prime is 2820480007. The reversal of 2820480000 is 840282.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820480007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24959944 + ... + 24960056.

Almost surely, 2^2820480000 is an apocalyptic number.

2820480000 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 2820480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5103072744).

2820480000 is an abundant number, since it is smaller than the sum of its proper divisors (7385665488).

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

2820480000 is a wasteful number, since it uses less digits than its factorization.

2820480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2820480000 is about 53108.1914585688. The cubic root of 2820480000 is about 1412.8877991255.

The spelling of 2820480000 in words is "two billion, eight hundred twenty million, four hundred eighty thousand".