2405405232384 has 576 divisors, whose sum is σ = 8164164814848. Its totient is φ = 610644787200.

The previous prime is 2405405232371. The next prime is 2405405232397. The reversal of 2405405232384 is 4832325045042.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2405405232371) and next prime (2405405232397).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 487810399 + ... + 487815329.

It is an arithmetic number, because the mean of its divisors is an integer number (14173897248).

Almost surely, 2^{2405405232384} is an apocalyptic number.

2405405232384 is a gapful number since it is divisible by the number (24) 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 2405405232384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082082407424).

2405405232384 is an abundant number, since it is smaller than the sum of its proper divisors (5758759582464).

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

2405405232384 is a wasteful number, since it uses less digits than its factorization.

2405405232384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5154 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 2405405232384 in words is "two trillion, four hundred five billion, four hundred five million, two hundred thirty-two thousand, three hundred eighty-four".