2187487680 has 224 divisors, whose sum is σ = 8283147264. Its totient is φ = 478224384.

The previous prime is 2187487667. The next prime is 2187487681. The reversal of 2187487680 is 867847812.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2187487681) 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 31 ways as a sum of consecutive naturals, for example, 147484 + ... + 161636.

It is an arithmetic number, because the mean of its divisors is an integer number (36978336).

Almost surely, 2^2187487680 is an apocalyptic number.

2187487680 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 2187487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141573632).

2187487680 is an abundant number, since it is smaller than the sum of its proper divisors (6095659584).

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

2187487680 is a wasteful number, since it uses less digits than its factorization.

2187487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14203 (or 14193 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 51.

The square root of 2187487680 is about 46770.5856281488. The cubic root of 2187487680 is about 1298.1210884476.

The spelling of 2187487680 in words is "two billion, one hundred eighty-seven million, four hundred eighty-seven thousand, six hundred eighty".