2345385200 has 120 divisors (see below), whose sum is σ = 5737585152. Its totient is φ = 921231360.

The previous prime is 2345385191. The next prime is 2345385239. The reversal of 2345385200 is 25835432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6959432 + ... + 6959768.

Almost surely, 2^2345385200 is an apocalyptic number.

2345385200 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 2345385200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868792576).

2345385200 is an abundant number, since it is smaller than the sum of its proper divisors (3392199952).

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

2345385200 is a wasteful number, since it uses less digits than its factorization.

2345385200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 2345385200 is about 48429.1771559253. The cubic root of 2345385200 is about 1328.6320568713.

The spelling of 2345385200 in words is "two billion, three hundred forty-five million, three hundred eighty-five thousand, two hundred".