2305226400 has 144 divisors (see below), whose sum is σ = 7554391488. Its totient is φ = 610560000.

The previous prime is 2305226387. The next prime is 2305226453. The reversal of 2305226400 is 46225032.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 359220 + ... + 365580.

It is an arithmetic number, because the mean of its divisors is an integer number (52461052).

Almost surely, 2^2305226400 is an apocalyptic number.

2305226400 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 2305226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777195744).

2305226400 is an abundant number, since it is smaller than the sum of its proper divisors (5249165088).

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

2305226400 is a wasteful number, since it uses less digits than its factorization.

2305226400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6535 (or 6522 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2305226400 is about 48012.7733004458. The cubic root of 2305226400 is about 1321.0052031046.

The spelling of 2305226400 in words is "two billion, three hundred five million, two hundred twenty-six thousand, four hundred".