2405052946752 has 168 divisors, whose sum is σ = 6656415521280. Its totient is φ = 766327203840.

The previous prime is 2405052946691. The next prime is 2405052946783. The reversal of 2405052946752 is 2576492505042.

It is a super-3 number, since 3×2405052946752³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2405052946695 and 2405052946704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174791649 + ... + 174805407.

It is an arithmetic number, because the mean of its divisors is an integer number (39621520960).

Almost surely, 2^{2405052946752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2405052946752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328207760640).

2405052946752 is an abundant number, since it is smaller than the sum of its proper divisors (4251362574528).

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

2405052946752 is a wasteful number, since it uses less digits than its factorization.

2405052946752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15541 (or 15508 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 51.

The spelling of 2405052946752 in words is "two trillion, four hundred five billion, fifty-two million, nine hundred forty-six thousand, seven hundred fifty-two".