2880468900 has 81 divisors (see below), whose sum is σ = 9033719331. Its totient is φ = 767695680.

The previous prime is 2880468887. The next prime is 2880468901. The reversal of 2880468900 is 98640882.

It is a happy number.

The square root of 2880468900 is 53670.

It is a perfect power (a square), and thus also a powerful number.

2880468900 is a `hidden beast` number, since 28 + 80 + 468 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 450373284 + 2430095616 = 21222^2 + 49296^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2880468901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1609206 + ... + 1610994.

Almost surely, 2^2880468900 is an apocalyptic number.

2880468900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2880468900 is the 53670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2880468900

2880468900 is an abundant number, since it is smaller than the sum of its proper divisors (6153250431).

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

2880468900 is a wasteful number, since it uses less digits than its factorization.

2880468900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The cubic root of 2880468900 is about 1422.8345318314.

The spelling of 2880468900 in words is "two billion, eight hundred eighty million, four hundred sixty-eight thousand, nine hundred".