2300042400 has 72 divisors (see below), whose sum is σ = 7486645824. Its totient is φ = 613344000.

The previous prime is 2300042399. The next prime is 2300042401. The reversal of 2300042400 is 42400032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2300042399) and next prime (2300042401).

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 2300042400.

It is not an unprimeable number, because it can be changed into a prime (2300042401) 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, 476776 + ... + 481575.

It is an arithmetic number, because the mean of its divisors is an integer number (103981192).

Almost surely, 2^2300042400 is an apocalyptic number.

2300042400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300042400 is an abundant number, since it is smaller than the sum of its proper divisors (5186603424).

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

2300042400 is a wasteful number, since it uses less digits than its factorization.

2300042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958374 (or 958361 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2300042400 is about 47958.7572816477. The cubic root of 2300042400 is about 1320.0142330880.

Adding to 2300042400 its reverse (42400032), we get a palindrome (2342442432).

The spelling of 2300042400 in words is "two billion, three hundred million, forty-two thousand, four hundred".