2201097000240 has 800 divisors, whose sum is σ = 8318649715200. Its totient is φ = 538014597120.

The previous prime is 2201097000239. The next prime is 2201097000247. The reversal of 2201097000240 is 420007901022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2201097000247) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 308748996 + ... + 308756124.

It is an arithmetic number, because the mean of its divisors is an integer number (10398312144).

Almost surely, 2^{2201097000240} is an apocalyptic number.

2201097000240 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 2201097000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159324857600).

2201097000240 is an abundant number, since it is smaller than the sum of its proper divisors (6117552714960).

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

2201097000240 is a wasteful number, since it uses less digits than its factorization.

2201097000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7267 (or 7252 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 2201097000240 in words is "two trillion, two hundred one billion, ninety-seven million, two hundred forty", and thus it is an aban number.