2405338364 has 192 divisors, whose sum is σ = 5649315840. Its totient is φ = 877547520.

The previous prime is 2405338361. The next prime is 2405338399. The reversal of 2405338364 is 4638335042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2405338361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8683394 + ... + 8683670.

It is an arithmetic number, because the mean of its divisors is an integer number (29423520).

Almost surely, 2^2405338364 is an apocalyptic number.

It is an amenable number.

2405338364 is an abundant number, since it is smaller than the sum of its proper divisors (3243977476).

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

2405338364 is a wasteful number, since it uses less digits than its factorization.

2405338364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The square root of 2405338364 is about 49044.2490410446. The cubic root of 2405338364 is about 1339.8578530437.

The spelling of 2405338364 in words is "two billion, four hundred five million, three hundred thirty-eight thousand, three hundred sixty-four".