2345142400 has 96 divisors (see below), whose sum is σ = 5806854900. Its totient is φ = 935854080.

The previous prime is 2345142383. The next prime is 2345142487. The reversal of 2345142400 is 42415432.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 633830976 + 1711311424 = 25176^2 + 41368^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2460324 + ... + 2461276.

Almost surely, 2^2345142400 is an apocalyptic number.

2345142400 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 2345142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903427450).

2345142400 is an abundant number, since it is smaller than the sum of its proper divisors (3461712500).

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

2345142400 is an equidigital number, since it uses as much as digits as its factorization.

2345142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2345142400 is about 48426.6703377385. The cubic root of 2345142400 is about 1328.5862075447.

Adding to 2345142400 its reverse (42415432), we get a palindrome (2387557832).

The spelling of 2345142400 in words is "two billion, three hundred forty-five million, one hundred forty-two thousand, four hundred".