2401000000 has 245 divisors, whose sum is σ = 6947704037. Its totient is φ = 823200000.

The previous prime is 2400999989. The next prime is 2401000001. The reversal of 2401000000 is 1042.

The square root of 2401000000 is 49000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 2103506496 + 297493504 = 45864^2 + 17248^2 .

It is a tau number, because it is divible by the number of its divisors (245).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (2401000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 342999997 + ... + 343000003.

Almost surely, 2^2401000000 is an apocalyptic number.

2401000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2401000000 is the 49000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2401000000

2401000000 is an abundant number, since it is smaller than the sum of its proper divisors (4546704037).

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

2401000000 is an frugal number, since it uses more digits than its factorization.

2401000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The cubic root of 2401000000 is about 1339.0518279407.

Adding to 2401000000 its reverse (1042), we get a palindrome (2401001042).

The spelling of 2401000000 in words is "two billion, four hundred one million", and thus it is an aban number.