2224970092800 has 1296 divisors, whose sum is σ = 10107046663168. Its totient is φ = 454267699200.

The previous prime is 2224970092777. The next prime is 2224970092871. The reversal of 2224970092800 is 82900794222.

It is a super-2 number, since 2×2224970092800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 162482754 + ... + 162496446.

Almost surely, 2^{2224970092800} is an apocalyptic number.

2224970092800 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 2224970092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5053523331584).

2224970092800 is an abundant number, since it is smaller than the sum of its proper divisors (7882076570368).

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

2224970092800 is a wasteful number, since it uses less digits than its factorization.

2224970092800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13776 (or 13754 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2224970092800 in words is "two trillion, two hundred twenty-four billion, nine hundred seventy million, ninety-two thousand, eight hundred".