2176875648 has 224 divisors, whose sum is σ = 6672437100. Its totient is φ = 706682880.

The previous prime is 2176875643. The next prime is 2176875667. The reversal of 2176875648 is 8465786712.

2176875648 is a `hidden beast` number, since 2 + 1 + 76 + 8 + 7 + 564 + 8 = 666.

It is a Cunningham number, because it is equal to 46657²-1.

It can be written as a sum of positive squares in 2 ways, for example, as 1737889344 + 438986304 = 41688^2 + 20952^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2176875594 and 2176875603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2176875643) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3825508 + ... + 3826076.

Almost surely, 2^2176875648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2176875648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336218550).

2176875648 is an abundant number, since it is smaller than the sum of its proper divisors (4495561452).

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

2176875648 is an frugal number, since it uses more digits than its factorization.

2176875648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 615 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 2176875648 is about 46656.9999892835. Note that the first 4 decimals coincide. The cubic root of 2176875648 is about 1296.0185182539.

The spelling of 2176875648 in words is "two billion, one hundred seventy-six million, eight hundred seventy-five thousand, six hundred forty-eight".