2405122320 has 80 divisors (see below), whose sum is σ = 7637761152. Its totient is φ = 625720320.

The previous prime is 2405122303. The next prime is 2405122327. The reversal of 2405122320 is 232215042.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2405122320² = 11569226748324364800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2405122327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112372 + ... + 132051.

Almost surely, 2^2405122320 is an apocalyptic number.

2405122320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2405122320 is an abundant number, since it is smaller than the sum of its proper divisors (5232638832).

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

2405122320 is a wasteful number, since it uses less digits than its factorization.

2405122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244480 (or 244474 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2405122320 is about 49042.0464499597. The cubic root of 2405122320 is about 1339.8177371469.

Adding to 2405122320 its reverse (232215042), we get a palindrome (2637337362).

The spelling of 2405122320 in words is "two billion, four hundred five million, one hundred twenty-two thousand, three hundred twenty".