2178000000 has 504 divisors, whose sum is σ = 8611120245. Its totient is φ = 528000000.

The previous prime is 2177999983. The next prime is 2178000007. The reversal of 2178000000 is 8712.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 371409984 + 1806590016 = 19272^2 + 42504^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33000.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2178000007) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 197999995 + ... + 198000005.

Almost surely, 2^2178000000 is an apocalyptic number.

2178000000 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 2178000000

2178000000 is an abundant number, since it is smaller than the sum of its proper divisors (6433120245).

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

2178000000 is an frugal number, since it uses more digits than its factorization.

2178000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 2178000000 is about 46669.0475583121. The cubic root of 2178000000 is about 1296.2416101899.

Multiplying 2178000000 by its sum of digits (18), we get a square (39204000000 = 198000²).

2178000000 divided by its sum of digits (18) gives a square (121000000 = 11000²).

Adding to 2178000000 its reverse (8712), we get a palindrome (2178008712).

Multiplying 2178000000 by its reverse (8712), we get a square (18974736000000 = 4356000²).

2178000000 divided by its reverse (8712) gives a square (250000 = 500²).

The spelling of 2178000000 in words is "two billion, one hundred seventy-eight million", and thus it is an aban number.