2224406002400 has 36 divisors (see below), whose sum is σ = 5430331155312. Its totient is φ = 889762400640.

The previous prime is 2224406002397. The next prime is 2224406002433. The reversal of 2224406002400 is 42006044222.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2224406002400.

It is a congruent number.

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, 1390252952 + ... + 1390254551.

It is an arithmetic number, because the mean of its divisors is an integer number (150842532092).

Almost surely, 2^{2224406002400} is an apocalyptic number.

2224406002400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2224406002400 is an abundant number, since it is smaller than the sum of its proper divisors (3205925152912).

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

2224406002400 is a wasteful number, since it uses less digits than its factorization.

2224406002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780507523 (or 2780507510 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The spelling of 2224406002400 in words is "two trillion, two hundred twenty-four billion, four hundred six million, two thousand, four hundred".