2410441220 has 96 divisors (see below), whose sum is σ = 6005301120. Its totient is φ = 802621440.

The previous prime is 2410441199. The next prime is 2410441247. The reversal of 2410441220 is 221440142.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2410441192 and 2410441201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129671 + ... + 147089.

It is an arithmetic number, because the mean of its divisors is an integer number (62555220).

Almost surely, 2^2410441220 is an apocalyptic number.

2410441220 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 2410441220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002650560).

2410441220 is an abundant number, since it is smaller than the sum of its proper divisors (3594859900).

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

2410441220 is a wasteful number, since it uses less digits than its factorization.

2410441220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17493 (or 17491 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2410441220 is about 49096.2444592252. The cubic root of 2410441220 is about 1340.8046737450.

Adding to 2410441220 its reverse (221440142), we get a palindrome (2631881362).

The spelling of 2410441220 in words is "two billion, four hundred ten million, four hundred forty-one thousand, two hundred twenty".