2400480096 has 192 divisors, whose sum is σ = 7380172800. Its totient is φ = 669067776.

The previous prime is 2400480091. The next prime is 2400480107. The reversal of 2400480096 is 6900840042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400480091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5467845 + ... + 5468283.

It is an arithmetic number, because the mean of its divisors is an integer number (38438400).

Almost surely, 2^2400480096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400480096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690086400).

2400480096 is an abundant number, since it is smaller than the sum of its proper divisors (4979692704).

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

2400480096 is a wasteful number, since it uses less digits than its factorization.

2400480096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2400480096 is about 48994.6945699226. The cubic root of 2400480096 is about 1338.9551697903.

The spelling of 2400480096 in words is "two billion, four hundred million, four hundred eighty thousand, ninety-six".