2201544640500 has 192 divisors, whose sum is σ = 6652059767808. Its totient is φ = 565321420800.

The previous prime is 2201544640459. The next prime is 2201544640517. The reversal of 2201544640500 is 50464451022.

It is a super-2 number, since 2×2201544640500² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 5179029 + ... + 5587971.

It is an arithmetic number, because the mean of its divisors is an integer number (34646144624).

Almost surely, 2^{2201544640500} is an apocalyptic number.

2201544640500 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 2201544640500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326029883904).

2201544640500 is an abundant number, since it is smaller than the sum of its proper divisors (4450515127308).

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

2201544640500 is a wasteful number, since it uses less digits than its factorization.

2201544640500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409099 (or 409087 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 2201544640500 in words is "two trillion, two hundred one billion, five hundred forty-four million, six hundred forty thousand, five hundred".