2305704400 has 60 divisors (see below), whose sum is σ = 5547364812. Its totient is φ = 920965120.

The previous prime is 2305704389. The next prime is 2305704439. The reversal of 2305704400 is 44075032.

It can be written as a sum of positive squares in 6 ways, for example, as 547747216 + 1757957184 = 23404^2 + 41928^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 305472 + ... + 312928.

Almost surely, 2^2305704400 is an apocalyptic number.

2305704400 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 2305704400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773682406).

2305704400 is an abundant number, since it is smaller than the sum of its proper divisors (3241660412).

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

2305704400 is a wasteful number, since it uses less digits than its factorization.

2305704400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8248 (or 8237 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 2305704400 is about 48017.7508844386. The cubic root of 2305704400 is about 1321.0965024304.

Adding to 2305704400 its reverse (44075032), we get a palindrome (2349779432).

The spelling of 2305704400 in words is "two billion, three hundred five million, seven hundred four thousand, four hundred".