2400104448 has 312 divisors, whose sum is σ = 8096115456. Its totient is φ = 670924800.

The previous prime is 2400104437. The next prime is 2400104459. The reversal of 2400104448 is 8444010042.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2400104437) and next prime (2400104459).

It is a super-2 number, since 2×2400104448² = 11521002722618769408, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18321343 + ... + 18321473.

It is an arithmetic number, because the mean of its divisors is an integer number (25949088).

Almost surely, 2^2400104448 is an apocalyptic number.

2400104448 is a gapful number since it is divisible by the number (28) 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 2400104448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4048057728).

2400104448 is an abundant number, since it is smaller than the sum of its proper divisors (5696011008).

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

2400104448 is a wasteful number, since it uses less digits than its factorization.

2400104448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 2400104448 is about 48990.8608620016. The cubic root of 2400104448 is about 1338.8853223639.

The spelling of 2400104448 in words is "two billion, four hundred million, one hundred four thousand, four hundred forty-eight".