2368000 has 80 divisors (see below), whose sum is σ = 6064344. Its totient is φ = 921600.

The previous prime is 2367983. The next prime is 2368013. The reversal of 2368000 is 8632.

It can be written as a sum of positive squares in 4 ways, for example, as 1218816 + 1149184 = 1104^2 + 1072^2 .

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, 63982 + ... + 64018.

2^2368000 is an apocalyptic number.

2368000 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 2368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032172).

2368000 is an abundant number, since it is smaller than the sum of its proper divisors (3696344).

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

2368000 is an frugal number, since it uses more digits than its factorization.

2368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2368000 is about 1538.8307249337. The cubic root of 2368000 is about 133.2888740658.

The spelling of 2368000 in words is "two million, three hundred sixty-eight thousand".