2224690423200 has 1152 divisors, whose sum is σ = 9520670638080. Its totient is φ = 490613760000.

The previous prime is 2224690423199. The next prime is 2224690423273. The reversal of 2224690423200 is 23240964222.

2224690423200 is a `hidden beast` number, since 2 + 2 + 24 + 6 + 9 + 0 + 423 + 200 = 666.

It is a super-3 number, since 3×2224690423200³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2442030745 + ... + 2442031655.

It is an arithmetic number, because the mean of its divisors is an integer number (8264471040).

Almost surely, 2^{2224690423200} is an apocalyptic number.

2224690423200 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 2224690423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4760335319040).

2224690423200 is an abundant number, since it is smaller than the sum of its proper divisors (7295980214880).

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

2224690423200 is a wasteful number, since it uses less digits than its factorization.

2224690423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 2224690423200 in words is "two trillion, two hundred twenty-four billion, six hundred ninety million, four hundred twenty-three thousand, two hundred".