2364000 has 96 divisors (see below), whose sum is σ = 7783776. Its totient is φ = 627200.

The previous prime is 2363983. The next prime is 2364001. The reversal of 2364000 is 4632.

2364000 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2364001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11902 + ... + 12098.

It is an arithmetic number, because the mean of its divisors is an integer number (81081).

2^2364000 is an apocalyptic number.

2364000 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 2364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891888).

2364000 is an abundant number, since it is smaller than the sum of its proper divisors (5419776).

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

2364000 is a wasteful number, since it uses less digits than its factorization.

2364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2364000 is about 1537.5304875026. The cubic root of 2364000 is about 133.2137817265.

Adding to 2364000 its reverse (4632), we get a palindrome (2368632).

The spelling of 2364000 in words is "two million, three hundred sixty-four thousand".