2401920000 has 440 divisors, whose sum is σ = 8952759200. Its totient is φ = 635904000.

The previous prime is 2401919963. The next prime is 2401920011. The reversal of 2401920000 is 291042.

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

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 39 ways as a sum of consecutive naturals, for example, 17279931 + ... + 17280069.

It is an arithmetic number, because the mean of its divisors is an integer number (20347180).

Almost surely, 2^2401920000 is an apocalyptic number.

2401920000 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 2401920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4476379600).

2401920000 is an abundant number, since it is smaller than the sum of its proper divisors (6550839200).

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

2401920000 is an equidigital number, since it uses as much as digits as its factorization.

2401920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2401920000 is about 49009.3868559891. The cubic root of 2401920000 is about 1339.2228359051. Note that the first 3 decimals are identical.

The spelling of 2401920000 in words is "two billion, four hundred one million, nine hundred twenty thousand".