2188736256 has 288 divisors, whose sum is σ = 7005196800. Its totient is φ = 593510400.

The previous prime is 2188736237. The next prime is 2188736269. The reversal of 2188736256 is 6526378812.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15746235 + ... + 15746373.

It is an arithmetic number, because the mean of its divisors is an integer number (24323600).

Almost surely, 2^2188736256 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 2188736256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502598400).

2188736256 is an abundant number, since it is smaller than the sum of its proper divisors (4816460544).

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

2188736256 is a wasteful number, since it uses less digits than its factorization.

2188736256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 281 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 2188736256 is about 46783.9316004972. The cubic root of 2188736256 is about 1298.3680223427.

The spelling of 2188736256 in words is "two billion, one hundred eighty-eight million, seven hundred thirty-six thousand, two hundred fifty-six".