2345405200 has 30 divisors (see below), whose sum is σ = 5634836954. Its totient is φ = 938161920.

The previous prime is 2345405177. The next prime is 2345405213. The reversal of 2345405200 is 25045432.

It can be written as a sum of positive squares in 3 ways, for example, as 10969344 + 2334435856 = 3312^2 + 48316^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2931357 + ... + 2932156.

Almost surely, 2^2345405200 is an apocalyptic number.

2345405200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2345405200 is an abundant number, since it is smaller than the sum of its proper divisors (3289431754).

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

2345405200 is a wasteful number, since it uses less digits than its factorization.

2345405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5863531 (or 5863520 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 2345405200 is about 48429.3836425780. The cubic root of 2345405200 is about 1328.6358334458.

The spelling of 2345405200 in words is "two billion, three hundred forty-five million, four hundred five thousand, two hundred".