2405633952 has 48 divisors (see below), whose sum is σ = 6320160000. Its totient is φ = 801196032.

The previous prime is 2405633933. The next prime is 2405633953. The reversal of 2405633952 is 2593365042.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2405633952² = 11574149422030276608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2405633952.

It is not an unprimeable number, because it can be changed into a prime (2405633953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109873 + ... + 129935.

It is an arithmetic number, because the mean of its divisors is an integer number (131670000).

Almost surely, 2^2405633952 is an apocalyptic number.

It is an amenable number.

2405633952 is an abundant number, since it is smaller than the sum of its proper divisors (3914526048).

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

2405633952 is a wasteful number, since it uses less digits than its factorization.

2405633952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21325 (or 21317 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The square root of 2405633952 is about 49047.2624312509. The cubic root of 2405633952 is about 1339.9127350909.

Adding to 2405633952 its reverse (2593365042), we get a palindrome (4998998994).

The spelling of 2405633952 in words is "two billion, four hundred five million, six hundred thirty-three thousand, nine hundred fifty-two".