2431200220 has 48 divisors (see below), whose sum is σ = 5259592800. Its totient is φ = 943439616.

The previous prime is 2431200217. The next prime is 2431200221. The reversal of 2431200220 is 220021342.

2431200220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2431200194 and 2431200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2431200221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118654 + ... + 137626.

It is an arithmetic number, because the mean of its divisors is an integer number (109574850).

Almost surely, 2^2431200220 is an apocalyptic number.

2431200220 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 2431200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629796400).

2431200220 is an abundant number, since it is smaller than the sum of its proper divisors (2828392580).

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

2431200220 is a wasteful number, since it uses less digits than its factorization.

2431200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19174 (or 19172 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2431200220 is about 49307.2025164681. The cubic root of 2431200220 is about 1344.6427320456.

Adding to 2431200220 its reverse (220021342), we get a palindrome (2651221562).

The spelling of 2431200220 in words is "two billion, four hundred thirty-one million, two hundred thousand, two hundred twenty".