2181488640 has 224 divisors, whose sum is σ = 7167103776. Its totient is φ = 566231040.

The previous prime is 2181488627. The next prime is 2181488641. The reversal of 2181488640 is 468841812.

It is a junction number, because it is equal to n+sod(n) for n = 2181488592 and 2181488601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2181488641) 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 15 ways as a sum of consecutive naturals, for example, 5037864 + ... + 5038296.

It is an arithmetic number, because the mean of its divisors is an integer number (31995999).

Almost surely, 2^2181488640 is an apocalyptic number.

2181488640 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 2181488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583551888).

2181488640 is an abundant number, since it is smaller than the sum of its proper divisors (4985615136).

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

2181488640 is an equidigital number, since it uses as much as digits as its factorization.

2181488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 2181488640 is about 46706.4089820658. The cubic root of 2181488640 is about 1296.9333316502.

The spelling of 2181488640 in words is "two billion, one hundred eighty-one million, four hundred eighty-eight thousand, six hundred forty".