2364120 has 128 divisors (see below), whose sum is σ = 8640000. Its totient is φ = 570240.

The previous prime is 2364119. The next prime is 2364121. The reversal of 2364120 is 214632.

It is a happy number.

2364120 is a `hidden beast` number, since 2 + 3 + 641 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2364119) and next prime (2364121).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 2364093 and 2364102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2364121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11781 + ... + 11979.

It is an arithmetic number, because the mean of its divisors is an integer number (67500).

2^2364120 is an apocalyptic number.

2364120 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 2364120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320000).

2364120 is an abundant number, since it is smaller than the sum of its proper divisors (6275880).

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

2364120 is a wasteful number, since it uses less digits than its factorization.

2364120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2364120 is about 1537.5695106238. The cubic root of 2364120 is about 133.2160357287.

Adding to 2364120 its reverse (214632), we get a palindrome (2578752).

It can be divided in two parts, 236 and 4120, that added together give a square (4356 = 66²).

The spelling of 2364120 in words is "two million, three hundred sixty-four thousand, one hundred twenty".