2345244012000 has 288 divisors, whose sum is σ = 8326463693184. Its totient is φ = 625158528000.

The previous prime is 2345244011951. The next prime is 2345244012071. The reversal of 2345244012000 is 2104425432.

2345244012000 is a `hidden beast` number, since 2 + 3 + 4 + 52 + 4 + 401 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2345244012000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106440985 + ... + 106463015.

It is an arithmetic number, because the mean of its divisors is an integer number (28911332268).

Almost surely, 2^{2345244012000} is an apocalyptic number.

2345244012000 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 2345244012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163231846592).

2345244012000 is an abundant number, since it is smaller than the sum of its proper divisors (5981219681184).

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

2345244012000 is a wasteful number, since it uses less digits than its factorization.

2345244012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25019 (or 24998 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 2345244012000 its reverse (2104425432), we get a palindrome (2347348437432).

The spelling of 2345244012000 in words is "two trillion, three hundred forty-five billion, two hundred forty-four million, twelve thousand".