2345112000 has 1120 divisors, whose sum is σ = 11046537216. Its totient is φ = 476928000.

The previous prime is 2345111969. The next prime is 2345112013. The reversal of 2345112000 is 2115432.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49895977 + ... + 49896023.

Almost surely, 2^2345112000 is an apocalyptic number.

2345112000 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 2345112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5523268608).

2345112000 is an abundant number, since it is smaller than the sum of its proper divisors (8701425216).

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

2345112000 is a wasteful number, since it uses less digits than its factorization.

2345112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2345112000 is about 48426.3564600931. The cubic root of 2345112000 is about 1328.5804667142.

Adding to 2345112000 its reverse (2115432), we get a palindrome (2347227432).

The spelling of 2345112000 in words is "two billion, three hundred forty-five million, one hundred twelve thousand".