2401040200 has 96 divisors (see below), whose sum is σ = 6035941800. Its totient is φ = 882984960.

The previous prime is 2401040183. The next prime is 2401040209. The reversal of 2401040200 is 20401042.

It can be written as a sum of positive squares in 12 ways, for example, as 201242596 + 2199797604 = 14186^2 + 46902^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (2401040209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697684 + ... + 701116.

Almost surely, 2^2401040200 is an apocalyptic number.

2401040200 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 2401040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017970900).

2401040200 is an abundant number, since it is smaller than the sum of its proper divisors (3634901600).

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

2401040200 is a wasteful number, since it uses less digits than its factorization.

2401040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3731 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2401040200 is about 49000.4102023646. The cubic root of 2401040200 is about 1339.0593011578.

Adding to 2401040200 its reverse (20401042), we get a palindrome (2421441242).

The spelling of 2401040200 in words is "two billion, four hundred one million, forty thousand, two hundred".