2404275392064 has 224 divisors, whose sum is σ = 7989091667200. Its totient is φ = 634094383104.

The previous prime is 2404275392059. The next prime is 2404275392107. The reversal of 2404275392064 is 4602935724042.

2404275392064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548029 + ... + 2260284.

It is an arithmetic number, because the mean of its divisors is an integer number (35665587800).

Almost surely, 2^{2404275392064} is an apocalyptic number.

2404275392064 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 2404275392064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994545833600).

2404275392064 is an abundant number, since it is smaller than the sum of its proper divisors (5584816275136).

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

2404275392064 is a wasteful number, since it uses less digits than its factorization.

2404275392064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808362 (or 2808338 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 2404275392064 in words is "two trillion, four hundred four billion, two hundred seventy-five million, three hundred ninety-two thousand, sixty-four".