2176007680 has 480 divisors, whose sum is σ = 7053298560. Its totient is φ = 634798080.

The previous prime is 2176007627. The next prime is 2176007681. The reversal of 2176007680 is 867006712.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2176007681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26216919 + ... + 26217001.

It is an arithmetic number, because the mean of its divisors is an integer number (14694372).

Almost surely, 2^2176007680 is an apocalyptic number.

2176007680 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 2176007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3526649280).

2176007680 is an abundant number, since it is smaller than the sum of its proper divisors (4877290880).

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

2176007680 is a wasteful number, since it uses less digits than its factorization.

2176007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 2176007680 is about 46647.6974780106. The cubic root of 2176007680 is about 1295.8462450324.

Adding to 2176007680 its product of nonzero digits (28224), we get a square (2176035904 = 46648²).

The spelling of 2176007680 in words is "two billion, one hundred seventy-six million, seven thousand, six hundred eighty".