2240204004 has 36 divisors (see below), whose sum is σ = 5664547980. Its totient is φ = 746496000.

The previous prime is 2240203967. The next prime is 2240204009. The reversal of 2240204004 is 4004020422.

2240204004 is a `hidden beast` number, since 2 + 240 + 20 + 400 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1771568100 + 468635904 = 42090^2 + 21648^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×2240204004³ (a number of 29 digits) contains 333 as substring.

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 (2240204009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132004 + ... + 148004.

It is an arithmetic number, because the mean of its divisors is an integer number (157348555).

Almost surely, 2^2240204004 is an apocalyptic number.

It is an amenable number.

2240204004 is an abundant number, since it is smaller than the sum of its proper divisors (3424343976).

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

2240204004 is a wasteful number, since it uses less digits than its factorization.

2240204004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19900 (or 19895 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2240204004 is about 47330.7934013365. The cubic root of 2240204004 is about 1308.4662437394.

Adding to 2240204004 its reverse (4004020422), we get a palindrome (6244224426).

The spelling of 2240204004 in words is "two billion, two hundred forty million, two hundred four thousand, four".