2303552000 has 80 divisors (see below), whose sum is σ = 5744210472. Its totient is φ = 921395200.

The previous prime is 2303551981. The next prime is 2303552029. The reversal of 2303552000 is 2553032.

It can be written as a sum of positive squares in 4 ways, for example, as 1175666944 + 1127885056 = 34288^2 + 33584^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46004 + ... + 81996.

Almost surely, 2^2303552000 is an apocalyptic number.

2303552000 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 2303552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872105236).

2303552000 is an abundant number, since it is smaller than the sum of its proper divisors (3440658472).

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

2303552000 is an frugal number, since it uses more digits than its factorization.

2303552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36026 (or 36000 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 2303552000 is about 47995.3331064594. Note that the first 3 decimals coincide. The cubic root of 2303552000 is about 1320.6852884875.

The spelling of 2303552000 in words is "two billion, three hundred three million, five hundred fifty-two thousand".