2176865280 has 440 divisors, whose sum is σ = 8114226120. Its totient is φ = 557383680.

The previous prime is 2176865279. The next prime is 2176865287. The reversal of 2176865280 is 825686712.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 2176782336 = 288^2 + 46656^2 .

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 (2176865287) 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 39 ways as a sum of consecutive naturals, for example, 12026790 + ... + 12026970.

It is an arithmetic number, because the mean of its divisors is an integer number (18441423).

Almost surely, 2^2176865280 is an apocalyptic number.

2176865280 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 2176865280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4057113060).

2176865280 is an abundant number, since it is smaller than the sum of its proper divisors (5937360840).

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

2176865280 is a wasteful number, since it uses less digits than its factorization.

2176865280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2176865280 is about 46656.8888804215. Note that the first 5 decimals coincide. The cubic root of 2176865280 is about 1296.0164606963.

The spelling of 2176865280 in words is "two billion, one hundred seventy-six million, eight hundred sixty-five thousand, two hundred eighty".