2249940256200 has 2688 divisors, whose sum is σ = 10311795002880. Its totient is φ = 443418624000.

The previous prime is 2249940256183. The next prime is 2249940256241. The reversal of 2249940256200 is 26520499422.

2249940256200 is a `hidden beast` number, since 2 + 2 + 49 + 9 + 40 + 2 + 562 + 0 + 0 = 666.

2249940256200 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 22276636150 + ... + 22276636250.

It is an arithmetic number, because the mean of its divisors is an integer number (3836233260).

Almost surely, 2^{2249940256200} is an apocalyptic number.

2249940256200 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 2249940256200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155897501440).

2249940256200 is an abundant number, since it is smaller than the sum of its proper divisors (8061854746680).

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

2249940256200 is a wasteful number, since it uses less digits than its factorization.

2249940256200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2249940256200 in words is "two trillion, two hundred forty-nine billion, nine hundred forty million, two hundred fifty-six thousand, two hundred".