2145344000 has 80 divisors (see below), whose sum is σ = 5349708936. Its totient is φ = 858112000.

The previous prime is 2145343973. The next prime is 2145344011. The reversal of 2145344000 is 4435412.

It can be written as a sum of positive squares in 4 ways, for example, as 418775296 + 1726568704 = 20464^2 + 41552^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47240 + ... + 80760.

Almost surely, 2^2145344000 is an apocalyptic number.

2145344000 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 2145344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674854468).

2145344000 is an abundant number, since it is smaller than the sum of its proper divisors (3204364936).

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

2145344000 is an frugal number, since it uses more digits than its factorization.

2145344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33554 (or 33528 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2145344000 is about 46317.8583269995. The cubic root of 2145344000 is about 1289.7305288145.

Adding to 2145344000 its reverse (4435412), we get a palindrome (2149779412).

The spelling of 2145344000 in words is "two billion, one hundred forty-five million, three hundred forty-four thousand".