2431682220 has 96 divisors (see below), whose sum is σ = 7456458240. Its totient is φ = 587215360.

The previous prime is 2431682213. The next prime is 2431682237. The reversal of 2431682220 is 222861342.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 166576 + ... + 180584.

It is an arithmetic number, because the mean of its divisors is an integer number (77671440).

Almost surely, 2^2431682220 is an apocalyptic number.

2431682220 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 2431682220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728229120).

2431682220 is an abundant number, since it is smaller than the sum of its proper divisors (5024776020).

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

2431682220 is a wasteful number, since it uses less digits than its factorization.

2431682220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14295 (or 14293 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2431682220 is about 49312.0899982955. The cubic root of 2431682220 is about 1344.7315873314.

The spelling of 2431682220 in words is "two billion, four hundred thirty-one million, six hundred eighty-two thousand, two hundred twenty".