2401360200 has 144 divisors (see below), whose sum is σ = 8083494900. Its totient is φ = 638860800.

The previous prime is 2401360153. The next prime is 2401360207. The reversal of 2401360200 is 20631042.

It is a happy number.

2401360200 is a `hidden beast` number, since 2 + 401 + 3 + 60 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1675919844 + 725440356 = 40938^2 + 26934^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2401360207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 914890 + ... + 917510.

Almost surely, 2^2401360200 is an apocalyptic number.

2401360200 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 2401360200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041747450).

2401360200 is an abundant number, since it is smaller than the sum of its proper divisors (5682134700).

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

2401360200 is a wasteful number, since it uses less digits than its factorization.

2401360200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152 (or 3140 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2401360200 is about 49003.6753723637. The cubic root of 2401360200 is about 1339.1187864789.

Adding to 2401360200 its reverse (20631042), we get a palindrome (2421991242).

The spelling of 2401360200 in words is "two billion, four hundred one million, three hundred sixty thousand, two hundred".