2300213400 has 96 divisors (see below), whose sum is σ = 7162227600. Its totient is φ = 610675200.

The previous prime is 2300213389. The next prime is 2300213401. The reversal of 2300213400 is 43120032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2300213400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300213401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129030 + ... + 145770.

Almost surely, 2^2300213400 is an apocalyptic number.

2300213400 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 2300213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581113800).

2300213400 is an abundant number, since it is smaller than the sum of its proper divisors (4862014200).

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

2300213400 is a wasteful number, since it uses less digits than its factorization.

2300213400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16989 (or 16980 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2300213400 is about 47960.5400303208. The cubic root of 2300213400 is about 1320.0469450705.

Adding to 2300213400 its reverse (43120032), we get a palindrome (2343333432).

The spelling of 2300213400 in words is "two billion, three hundred million, two hundred thirteen thousand, four hundred".