2201205384540 has 288 divisors, whose sum is σ = 6985007737344. Its totient is φ = 560571701760.

The previous prime is 2201205384529. The next prime is 2201205384557. The reversal of 2201205384540 is 454835021022.

2201205384540 is a `hidden beast` number, since 2 + 20 + 1 + 20 + 538 + 45 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2201205384495 and 2201205384504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107328967 + ... + 107349473.

It is an arithmetic number, because the mean of its divisors is an integer number (24253499088).

Almost surely, 2^{2201205384540} is an apocalyptic number.

2201205384540 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 2201205384540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492503868672).

2201205384540 is an abundant number, since it is smaller than the sum of its proper divisors (4783802352804).

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

2201205384540 is a wasteful number, since it uses less digits than its factorization.

2201205384540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20857 (or 20852 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 2201205384540 in words is "two trillion, two hundred one billion, two hundred five million, three hundred eighty-four thousand, five hundred forty".