2804820480 has 1280 divisors, whose sum is σ = 13576273920. Its totient is φ = 530841600.

The previous prime is 2804820479. The next prime is 2804820481. The reversal of 2804820480 is 840284082.

It is an interprime number because it is at equal distance from previous prime (2804820479) and next prime (2804820481).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2804820481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90478065 + ... + 90478095.

It is an arithmetic number, because the mean of its divisors is an integer number (10606464).

Almost surely, 2^2804820480 is an apocalyptic number.

2804820480 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 2804820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788136960).

2804820480 is an abundant number, since it is smaller than the sum of its proper divisors (10771453440).

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

2804820480 is a wasteful number, since it uses less digits than its factorization.

2804820480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 2804820480 is about 52960.5558883213. Note that the first 3 decimals coincide. The cubic root of 2804820480 is about 1410.2681246555.

The spelling of 2804820480 in words is "two billion, eight hundred four million, eight hundred twenty thousand, four hundred eighty".