2224152210400 has 36 divisors (see below), whose sum is σ = 5429711585592. Its totient is φ = 889660883840.

The previous prime is 2224152210347. The next prime is 2224152210409. The reversal of 2224152210400 is 40122514222.

It is a happy number.

2224152210400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224152210409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1390094332 + ... + 1390095931.

It is an arithmetic number, because the mean of its divisors is an integer number (150825321822).

Almost surely, 2^{2224152210400} is an apocalyptic number.

2224152210400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2224152210400 is an abundant number, since it is smaller than the sum of its proper divisors (3205559375192).

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

2224152210400 is a wasteful number, since it uses less digits than its factorization.

2224152210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780190283 (or 2780190270 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 2224152210400 its reverse (40122514222), we get a palindrome (2264274724622).

The spelling of 2224152210400 in words is "two trillion, two hundred twenty-four billion, one hundred fifty-two million, two hundred ten thousand, four hundred".