2187651840 has 288 divisors, whose sum is σ = 7745746176. Its totient is φ = 521748480.

The previous prime is 2187651827. The next prime is 2187651841. The reversal of 2187651840 is 481567812.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2187651792 and 2187651801.

It is not an unprimeable number, because it can be changed into a prime (2187651841) 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, 2829694 + ... + 2830466.

It is an arithmetic number, because the mean of its divisors is an integer number (26894952).

Almost surely, 2^2187651840 is an apocalyptic number.

2187651840 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 2187651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872873088).

2187651840 is an abundant number, since it is smaller than the sum of its proper divisors (5558094336).

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

2187651840 is a wasteful number, since it uses less digits than its factorization.

2187651840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 2187651840 is about 46772.3405443858. The cubic root of 2187651840 is about 1298.1535601318.

The spelling of 2187651840 in words is "two billion, one hundred eighty-seven million, six hundred fifty-one thousand, eight hundred forty".