2300106240 has 320 divisors, whose sum is σ = 8273041920. Its totient is φ = 605675520.

The previous prime is 2300106233. The next prime is 2300106241. The reversal of 2300106240 is 426010032.

It is a happy number.

2300106240 is a `hidden beast` number, since 2 + 30 + 0 + 10 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300106241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7395685 + ... + 7395995.

It is an arithmetic number, because the mean of its divisors is an integer number (25853256).

Almost surely, 2^2300106240 is an apocalyptic number.

2300106240 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 2300106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136520960).

2300106240 is an abundant number, since it is smaller than the sum of its proper divisors (5972935680).

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

2300106240 is a wasteful number, since it uses less digits than its factorization.

2300106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 428 counting only the distinct ones).

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

The square root of 2300106240 is about 47959.4228489043. The cubic root of 2300106240 is about 1320.0264457512.

Adding to 2300106240 its reverse (426010032), we get a palindrome (2726116272).

The spelling of 2300106240 in words is "two billion, three hundred million, one hundred six thousand, two hundred forty".