2176668540 has 72 divisors (see below), whose sum is σ = 6621778800. Its totient is φ = 578755584.

The previous prime is 2176668511. The next prime is 2176668541. The reversal of 2176668540 is 458666712.

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

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2176668541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45036 + ... + 79884.

It is an arithmetic number, because the mean of its divisors is an integer number (91969150).

Almost surely, 2^2176668540 is an apocalyptic number.

2176668540 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 2176668540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310889400).

2176668540 is an abundant number, since it is smaller than the sum of its proper divisors (4445110260).

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

2176668540 is a wasteful number, since it uses less digits than its factorization.

2176668540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35211 (or 35206 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2176668540 is about 46654.7804624564. The cubic root of 2176668540 is about 1295.9774158730.

The spelling of 2176668540 in words is "two billion, one hundred seventy-six million, six hundred sixty-eight thousand, five hundred forty".