2342400000 has 312 divisors, whose sum is σ = 7934523408. Its totient is φ = 614400000.

The previous prime is 2342399999. The next prime is 2342400001. The reversal of 2342400000 is 42432.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2342399999) and next prime (2342400001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2342400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38399970 + ... + 38400030.

Almost surely, 2^2342400000 is an apocalyptic number.

2342400000 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 2342400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967261704).

2342400000 is an abundant number, since it is smaller than the sum of its proper divisors (5592123408).

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

2342400000 is an frugal number, since it uses more digits than its factorization.

2342400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 71 counting only the distinct ones).

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

The square root of 2342400000 is about 48398.3470792134. The cubic root of 2342400000 is about 1328.0681244387.

Adding to 2342400000 its reverse (42432), we get a palindrome (2342442432).

The spelling of 2342400000 in words is "two billion, three hundred forty-two million, four hundred thousand".