2201926849200 has 720 divisors, whose sum is σ = 8743532878080. Its totient is φ = 508664862720.

The previous prime is 2201926849147. The next prime is 2201926849211. The reversal of 2201926849200 is 29486291022.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 95132829 + ... + 95155971.

It is an arithmetic number, because the mean of its divisors is an integer number (12143795664).

Almost surely, 2^{2201926849200} is an apocalyptic number.

2201926849200 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 2201926849200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371766439040).

2201926849200 is an abundant number, since it is smaller than the sum of its proper divisors (6541606028880).

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

2201926849200 is a wasteful number, since it uses less digits than its factorization.

2201926849200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23306 (or 23292 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 2201926849200 in words is "two trillion, two hundred one billion, nine hundred twenty-six million, eight hundred forty-nine thousand, two hundred".