2188905264 has 300 divisors, whose sum is σ = 7711982096. Its totient is φ = 576108288.

The previous prime is 2188905263. The next prime is 2188905287. The reversal of 2188905264 is 4625098812.

It is not an unprimeable number, because it can be changed into a prime (2188905263) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 4494429 + ... + 4494915.

Almost surely, 2^2188905264 is an apocalyptic number.

2188905264 is a gapful number since it is divisible by the number (24) 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 2188905264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855991048).

2188905264 is an abundant number, since it is smaller than the sum of its proper divisors (5523076832).

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

2188905264 is a wasteful number, since it uses less digits than its factorization.

2188905264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2188905264 is about 46785.7378268207. The cubic root of 2188905264 is about 1298.4014402468.

The spelling of 2188905264 in words is "two billion, one hundred eighty-eight million, nine hundred five thousand, two hundred sixty-four".