2208758506920 has 192 divisors, whose sum is σ = 8207100645120. Its totient is φ = 504665828352.

The previous prime is 2208758506907. The next prime is 2208758506921. The reversal of 2208758506920 is 296058578022.

It is a happy number.

2208758506920 is a `hidden beast` number, since 2 + 2 + 0 + 87 + 58 + 506 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×2208758506920² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2208758506921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6468717 + ... + 6801603.

It is an arithmetic number, because the mean of its divisors is an integer number (42745315860).

Almost surely, 2^{2208758506920} is an apocalyptic number.

2208758506920 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 2208758506920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4103550322560).

2208758506920 is an abundant number, since it is smaller than the sum of its proper divisors (5998342138200).

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

2208758506920 is a wasteful number, since it uses less digits than its factorization.

2208758506920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335544 (or 335537 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 2208758506920 in words is "two trillion, two hundred eight billion, seven hundred fifty-eight million, five hundred six thousand, nine hundred twenty".