2223870749100 has 3456 divisors, whose sum is σ = 10592033177600. Its totient is φ = 387991296000.

The previous prime is 2223870749083. The next prime is 2223870749153. The reversal of 2223870749100 is 19470783222.

2223870749100 is a `hidden beast` number, since 222 + 387 + 0 + 7 + 49 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×2223870749100² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 17510793237 + ... + 17510793363.

Almost surely, 2^{2223870749100} is an apocalyptic number.

2223870749100 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 2223870749100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5296016588800).

2223870749100 is an abundant number, since it is smaller than the sum of its proper divisors (8368162428500).

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

2223870749100 is a wasteful number, since it uses less digits than its factorization.

2223870749100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 2223870749100 in words is "two trillion, two hundred twenty-three billion, eight hundred seventy million, seven hundred forty-nine thousand, one hundred".