2345312000 has 72 divisors (see below), whose sum is σ = 5842545072. Its totient is φ = 938112000.

The previous prime is 2345311979. The next prime is 2345312003. The reversal of 2345312000 is 2135432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2345312003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4646 + ... + 68645.

Almost surely, 2^2345312000 is an apocalyptic number.

2345312000 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 2345312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921272536).

2345312000 is an abundant number, since it is smaller than the sum of its proper divisors (3497233072).

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

2345312000 is an frugal number, since it uses more digits than its factorization.

2345312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73322 (or 73298 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2345312000 is about 48428.4214072687. The cubic root of 2345312000 is about 1328.6182344256.

Adding to 2345312000 its reverse (2135432), we get a palindrome (2347447432).

It can be divided in two parts, 23453 and 12000, that added together give a palindrome (35453).

The spelling of 2345312000 in words is "two billion, three hundred forty-five million, three hundred twelve thousand".