2405619680 has 96 divisors (see below), whose sum is σ = 6279384384. Its totient is φ = 866246656.

The previous prime is 2405619677. The next prime is 2405619683. The reversal of 2405619680 is 869165042.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2405619677) and next prime (2405619683).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2405619683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43334 + ... + 81786.

It is an arithmetic number, because the mean of its divisors is an integer number (65410254).

Almost surely, 2^2405619680 is an apocalyptic number.

2405619680 is a gapful number since it is divisible by the number (20) 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 2405619680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139692192).

2405619680 is an abundant number, since it is smaller than the sum of its proper divisors (3873764704).

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

2405619680 is a wasteful number, since it uses less digits than its factorization.

2405619680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38508 (or 38500 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 2405619680 is about 49047.1169387152. The cubic root of 2405619680 is about 1339.9100853012.

The spelling of 2405619680 in words is "two billion, four hundred five million, six hundred nineteen thousand, six hundred eighty".