2824172680 has 64 divisors (see below), whose sum is σ = 7364494080. Its totient is φ = 954643200.

The previous prime is 2824172657. The next prime is 2824172683. The reversal of 2824172680 is 862714282.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2824172683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51151 + ... + 90910.

It is an arithmetic number, because the mean of its divisors is an integer number (115070220).

Almost surely, 2^2824172680 is an apocalyptic number.

2824172680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2824172680 is an abundant number, since it is smaller than the sum of its proper divisors (4540321400).

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

2824172680 is a wasteful number, since it uses less digits than its factorization.

2824172680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142150 (or 142146 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 2824172680 is about 53142.9457218924. The cubic root of 2824172680 is about 1413.5041324279.

The spelling of 2824172680 in words is "two billion, eight hundred twenty-four million, one hundred seventy-two thousand, six hundred eighty".