2345775432 has 576 divisors, whose sum is σ = 8561764800. Its totient is φ = 528353280.

The previous prime is 2345775427. The next prime is 2345775433.

2345775432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (705600) is a multiple of the sum of its prime factors (126).

It is not an unprimeable number, because it can be changed into a prime (2345775433) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63399318 + ... + 63399354.

It is an arithmetic number, because the mean of its divisors is an integer number (14864175).

Almost surely, 2^2345775432 is an apocalyptic number.

2345775432 is a gapful number since it is divisible by the number (22) 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 2345775432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4280882400).

2345775432 is an abundant number, since it is smaller than the sum of its proper divisors (6215989368).

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

2345775432 is a wasteful number, since it uses less digits than its factorization.

2345775432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 102 counting only the distinct ones).

The product of its digits is 705600, while the sum is 42.

The square root of 2345775432 is about 48433.2058819154. The cubic root of 2345775432 is about 1328.7057400048.

It can be divided in two parts, 23457 and 75432, that added together give a palindrome (98889).

The spelling of 2345775432 in words is "two billion, three hundred forty-five million, seven hundred seventy-five thousand, four hundred thirty-two".