2364600040 has 128 divisors (see below), whose sum is σ = 6210691200. Its totient is φ = 800686080.

The previous prime is 2364600037. The next prime is 2364600047. The reversal of 2364600040 is 400064632.

It is a junction number, because it is equal to n+sod(n) for n = 2364599978 and 2364600014.

It is not an unprimeable number, because it can be changed into a prime (2364600047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 723931 + ... + 727189.

It is an arithmetic number, because the mean of its divisors is an integer number (48521025).

Almost surely, 2^2364600040 is an apocalyptic number.

2364600040 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 2364600040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105345600).

2364600040 is an abundant number, since it is smaller than the sum of its proper divisors (3846091160).

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

2364600040 is a wasteful number, since it uses less digits than its factorization.

2364600040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 2364600040 is about 48627.1533199302. The cubic root of 2364600040 is about 1332.2505172589.

Adding to 2364600040 its reverse (400064632), we get a palindrome (2764664672).

The spelling of 2364600040 in words is "two billion, three hundred sixty-four million, six hundred thousand, forty".