2226710400 has 192 divisors, whose sum is σ = 7384408320. Its totient is φ = 589731840.

The previous prime is 2226710329. The next prime is 2226710411. The reversal of 2226710400 is 40176222.

It is a tau number, because it is divible by the number of its divisors (192).

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

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 23 ways as a sum of consecutive naturals, for example, 1564089 + ... + 1565511.

It is an arithmetic number, because the mean of its divisors is an integer number (38460460).

Almost surely, 2^2226710400 is an apocalyptic number.

2226710400 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 2226710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692204160).

2226710400 is an abundant number, since it is smaller than the sum of its proper divisors (5157697920).

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

2226710400 is a wasteful number, since it uses less digits than its factorization.

2226710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2226710400 is about 47188.0323811027. The cubic root of 2226710400 is about 1305.8338206993.

Adding to 2226710400 its reverse (40176222), we get a palindrome (2266886622).

The spelling of 2226710400 in words is "two billion, two hundred twenty-six million, seven hundred ten thousand, four hundred".