2405766016 has 64 divisors (see below), whose sum is σ = 5341842000. Its totient is φ = 1072521216.

The previous prime is 2405766001. The next prime is 2405766047. The reversal of 2405766016 is 6106675042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 12250 + ... + 70438.

Almost surely, 2^2405766016 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 2405766016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670921000).

2405766016 is an abundant number, since it is smaller than the sum of its proper divisors (2936075984).

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

2405766016 is a wasteful number, since it uses less digits than its factorization.

2405766016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58239 (or 58227 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 2405766016 is about 49048.6087060581. The cubic root of 2405766016 is about 1339.9372540605.

The spelling of 2405766016 in words is "two billion, four hundred five million, seven hundred sixty-six thousand, sixteen".