2345200440 has 128 divisors (see below), whose sum is σ = 7805548800. Its totient is φ = 558878720.

The previous prime is 2345200433. The next prime is 2345200447. The reversal of 2345200440 is 440025432.

2345200440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2345200433) and next prime (2345200447).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2345200440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2345200447) 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, 62824 + ... + 92936.

It is an arithmetic number, because the mean of its divisors is an integer number (60980850).

Almost surely, 2^2345200440 is an apocalyptic number.

2345200440 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 2345200440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3902774400).

2345200440 is an abundant number, since it is smaller than the sum of its proper divisors (5460348360).

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

2345200440 is a wasteful number, since it uses less digits than its factorization.

2345200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30197 (or 30193 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2345200440 is about 48427.2695905933. The cubic root of 2345200440 is about 1328.5971678610.

Adding to 2345200440 its reverse (440025432), we get a palindrome (2785225872).

The spelling of 2345200440 in words is "two billion, three hundred forty-five million, two hundred thousand, four hundred forty".