2407104000 has 640 divisors, whose sum is σ = 10213632000. Its totient is φ = 547430400.

The previous prime is 2407103989. The next prime is 2407104017. The reversal of 2407104000 is 4017042.

It is a happy number.

2407104000 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 (640).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12095901 + ... + 12096099.

It is an arithmetic number, because the mean of its divisors is an integer number (15958800).

Almost surely, 2^2407104000 is an apocalyptic number.

2407104000 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 2407104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5106816000).

2407104000 is an abundant number, since it is smaller than the sum of its proper divisors (7806528000).

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

2407104000 is an equidigital number, since it uses as much as digits as its factorization.

2407104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2407104000 is about 49062.2461776874. The cubic root of 2407104000 is about 1340.1856132575.

The spelling of 2407104000 in words is "two billion, four hundred seven million, one hundred four thousand".