2187859968 has 288 divisors, whose sum is σ = 7468231680. Its totient is φ = 603832320.

The previous prime is 2187859967. The next prime is 2187859969. The reversal of 2187859968 is 8699587812.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2187859967) and next prime (2187859969).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2187859968² = 9573462479153922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2187859967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3999471 + ... + 4000017.

It is an arithmetic number, because the mean of its divisors is an integer number (25931360).

Almost surely, 2^2187859968 is an apocalyptic number.

2187859968 is a gapful number since it is divisible by the number (28) 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 2187859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734115840).

2187859968 is an abundant number, since it is smaller than the sum of its proper divisors (5280371712).

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

2187859968 is a wasteful number, since it uses less digits than its factorization.

2187859968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 590 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 63.

The square root of 2187859968 is about 46774.5653961638. The cubic root of 2187859968 is about 1298.1947265752.

The spelling of 2187859968 in words is "two billion, one hundred eighty-seven million, eight hundred fifty-nine thousand, nine hundred sixty-eight".