2404141200 has 90 divisors (see below), whose sum is σ = 8343050274. Its totient is φ = 641103360.

The previous prime is 2404141183. The next prime is 2404141261. The reversal of 2404141200 is 21414042.

2404141200 is a `hidden beast` number, since 240 + 414 + 12 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 61968384 + 2342172816 = 7872^2 + 48396^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 330309 + ... + 337508.

Almost surely, 2^2404141200 is an apocalyptic number.

2404141200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2404141200 is an abundant number, since it is smaller than the sum of its proper divisors (5938909074).

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

2404141200 is a wasteful number, since it uses less digits than its factorization.

2404141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667841 (or 667827 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2404141200 is about 49032.0425844162. The cubic root of 2404141200 is about 1339.6355287062.

Adding to 2404141200 its reverse (21414042), we get a palindrome (2425555242).

The spelling of 2404141200 in words is "two billion, four hundred four million, one hundred forty-one thousand, two hundred".