2240306100 has 90 divisors (see below), whose sum is σ = 7262213574. Its totient is φ = 597412800.

The previous prime is 2240306071. The next prime is 2240306111. The reversal of 2240306100 is 16030422.

It is a happy number.

2240306100 is a `hidden beast` number, since 2 + 24 + 0 + 30 + 610 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 161493264 + 2078812836 = 12708^2 + 45594^2 .

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 130191 + ... + 146390.

Almost surely, 2^2240306100 is an apocalyptic number.

2240306100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240306100 is an abundant number, since it is smaller than the sum of its proper divisors (5021907474).

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

2240306100 is a wasteful number, since it uses less digits than its factorization.

2240306100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276607 (or 276591 counting only the distinct ones).

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

The square root of 2240306100 is about 47331.8719257965. The cubic root of 2240306100 is about 1308.4861209678.

Adding to 2240306100 its reverse (16030422), we get a palindrome (2256336522).

The spelling of 2240306100 in words is "two billion, two hundred forty million, three hundred six thousand, one hundred".