2404807680 has 352 divisors, whose sum is σ = 8611941888. Its totient is φ = 567705600.

The previous prime is 2404807673. The next prime is 2404807747. The reversal of 2404807680 is 867084042.

It is a tau number, because it is divible by the number of its divisors (352).

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 31 ways as a sum of consecutive naturals, for example, 7265115 + ... + 7265445.

It is an arithmetic number, because the mean of its divisors is an integer number (24465744).

Almost surely, 2^2404807680 is an apocalyptic number.

2404807680 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 2404807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305970944).

2404807680 is an abundant number, since it is smaller than the sum of its proper divisors (6207134208).

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

2404807680 is a wasteful number, since it uses less digits than its factorization.

2404807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 2404807680 is about 49038.8384854291. The cubic root of 2404807680 is about 1339.7593092610.

It can be divided in two parts, 240480 and 7680, that added together give a triangular number (248160 = T₇₀₄).

The spelling of 2404807680 in words is "two billion, four hundred four million, eight hundred seven thousand, six hundred eighty".