2201257285920 has 864 divisors, whose sum is σ = 9790352784576. Its totient is φ = 445036032000.

The previous prime is 2201257285907. The next prime is 2201257285939. The reversal of 2201257285920 is 295827521022.

2201257285920 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 2 + 57 + 2 + 8 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28679595 + ... + 28756245.

It is an arithmetic number, because the mean of its divisors is an integer number (11331426834).

Almost surely, 2^{2201257285920} is an apocalyptic number.

2201257285920 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 2201257285920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4895176392288).

2201257285920 is an abundant number, since it is smaller than the sum of its proper divisors (7589095498656).

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

2201257285920 is a wasteful number, since it uses less digits than its factorization.

2201257285920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76734 (or 76716 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 2201257285920 in words is "two trillion, two hundred one billion, two hundred fifty-seven million, two hundred eighty-five thousand, nine hundred twenty".