2806020480 has 128 divisors (see below), whose sum is σ = 9045237600. Its totient is φ = 739819520.

The previous prime is 2806020473. The next prime is 2806020551. The reversal of 2806020480 is 840206082.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162670 + ... + 179090.

Almost surely, 2^2806020480 is an apocalyptic number.

2806020480 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 2806020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4522618800).

2806020480 is an abundant number, since it is smaller than the sum of its proper divisors (6239217120).

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

2806020480 is a wasteful number, since it uses less digits than its factorization.

2806020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16532 (or 16520 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2806020480 is about 52971.8838630457. The cubic root of 2806020480 is about 1410.4692166058.

The spelling of 2806020480 in words is "two billion, eight hundred six million, twenty thousand, four hundred eighty".