2182878720 has 720 divisors, whose sum is σ = 8914585680. Its totient is φ = 510935040.

The previous prime is 2182878689. The next prime is 2182878721. The reversal of 2182878720 is 278782812.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2182878721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75271666 + ... + 75271694.

It is an arithmetic number, because the mean of its divisors is an integer number (12381369).

Almost surely, 2^2182878720 is an apocalyptic number.

2182878720 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 2182878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457292840).

2182878720 is an abundant number, since it is smaller than the sum of its proper divisors (6731706960).

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

2182878720 is an equidigital number, since it uses as much as digits as its factorization.

2182878720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 2182878720 is about 46721.2876534883. The cubic root of 2182878720 is about 1297.2087488210.

The spelling of 2182878720 in words is "two billion, one hundred eighty-two million, eight hundred seventy-eight thousand, seven hundred twenty".