2250220676256 has 576 divisors, whose sum is σ = 7798672949760. Its totient is φ = 637120899072.

The previous prime is 2250220676237. The next prime is 2250220676293. The reversal of 2250220676256 is 6526760220522.

2250220676256 is a `hidden beast` number, since 2 + 2 + 502 + 20 + 6 + 76 + 2 + 56 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 387498505 + ... + 387504311.

It is an arithmetic number, because the mean of its divisors is an integer number (13539362760).

Almost surely, 2^{2250220676256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250220676256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899336474880).

2250220676256 is an abundant number, since it is smaller than the sum of its proper divisors (5548452273504).

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

2250220676256 is an equidigital number, since it uses as much as digits as its factorization.

2250220676256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5965 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

Adding to 2250220676256 its reverse (6526760220522), we get a palindrome (8776980896778).

The spelling of 2250220676256 in words is "two trillion, two hundred fifty billion, two hundred twenty million, six hundred seventy-six thousand, two hundred fifty-six".