2028480800 has 72 divisors (see below), whose sum is σ = 5243359716. Its totient is φ = 763658240.

The previous prime is 2028480787. The next prime is 2028480823. The reversal of 2028480800 is 80848202.

It can be written as a sum of positive squares in 6 ways, for example, as 529552144 + 1498928656 = 23012^2 + 38716^2 .

It is a super-2 number, since 2×2028480800² = 8229468711937280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60977 + ... + 88176.

Almost surely, 2^2028480800 is an apocalyptic number.

2028480800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2028480800 is an abundant number, since it is smaller than the sum of its proper divisors (3214878916).

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

2028480800 is a wasteful number, since it uses less digits than its factorization.

2028480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149190 (or 149177 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 2028480800 is about 45038.6589498400. The cubic root of 2028480800 is about 1265.8734769367.

The spelling of 2028480800 in words is "two billion, twenty-eight million, four hundred eighty thousand, eight hundred".