2401948080 has 480 divisors, whose sum is σ = 10074355200. Its totient is φ = 519561216.

The previous prime is 2401948069. The next prime is 2401948097. The reversal of 2401948080 is 808491042.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2585056 + ... + 2585984.

It is an arithmetic number, because the mean of its divisors is an integer number (20988240).

Almost surely, 2^2401948080 is an apocalyptic number.

2401948080 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 2401948080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5037177600).

2401948080 is an abundant number, since it is smaller than the sum of its proper divisors (7672407120).

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

2401948080 is a wasteful number, since it uses less digits than its factorization.

2401948080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2401948080 is about 49009.6733308844. The cubic root of 2401948080 is about 1339.2280546788.

The spelling of 2401948080 in words is "two billion, four hundred one million, nine hundred forty-eight thousand, eighty".