2188863040 has 112 divisors (see below), whose sum is σ = 6415137792. Its totient is φ = 692729856.

The previous prime is 2188863037. The next prime is 2188863107. The reversal of 2188863040 is 403688812.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2188863040² = 9582242815756083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2188862984 and 2188863002.

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 15 ways as a sum of consecutive naturals, for example, 8464 + ... + 66703.

It is an arithmetic number, because the mean of its divisors is an integer number (57278016).

Almost surely, 2^2188863040 is an apocalyptic number.

2188863040 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 2188863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207568896).

2188863040 is an abundant number, since it is smaller than the sum of its proper divisors (4226274752).

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

2188863040 is a wasteful number, since it uses less digits than its factorization.

2188863040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75204 (or 75194 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 2188863040 is about 46785.2865760166. The cubic root of 2188863040 is about 1298.3930914684.

It can be divided in two parts, 218886 and 3040, that multiplied together give a triangular number (665413440 = T₃₆₄₈₀).

The spelling of 2188863040 in words is "two billion, one hundred eighty-eight million, eight hundred sixty-three thousand, forty".