2284880000 has 200 divisors, whose sum is σ = 6162054855. Its totient is φ = 843648000.

The previous prime is 2284879999. The next prime is 2284880009. The reversal of 2284880000 is 884822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 13 ways, for example, as 2110851136 + 174028864 = 45944^2 + 13192^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33800.

It is a super-2 number, since 2×2284880000² = 10441353228800000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2284880009) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 175759994 + ... + 175760006.

Almost surely, 2^2284880000 is an apocalyptic number.

2284880000 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 2284880000

2284880000 is an abundant number, since it is smaller than the sum of its proper divisors (3877174855).

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

2284880000 is an frugal number, since it uses more digits than its factorization.

2284880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 20 counting only the distinct ones).

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

The square root of 2284880000 is about 47800.4184082106. The cubic root of 2284880000 is about 1317.1072249662.

Multiplying 2284880000 by its sum of digits (32), we get a 4-th power (73116160000 = 520⁴).

2284880000 divided by its sum of digits (32) gives a square (71402500 = 8450²).

Multiplying 2284880000 by its product of nonzero digits (8192), we get a 4-th power (18717736960000 = 2080⁴).

The spelling of 2284880000 in words is "two billion, two hundred eighty-four million, eight hundred eighty thousand".