2410224221010 has 128 divisors (see below), whose sum is σ = 6072718417920. Its totient is φ = 611529408000.

The previous prime is 2410224220981. The next prime is 2410224221029. The reversal of 2410224221010 is 101224220142.

2410224221010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2410224221010² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34819935 + ... + 34889085.

It is an arithmetic number, because the mean of its divisors is an integer number (47443112640).

Almost surely, 2^{2410224221010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2410224221010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036359208960).

2410224221010 is an abundant number, since it is smaller than the sum of its proper divisors (3662494196910).

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

2410224221010 is a wasteful number, since it uses less digits than its factorization.

2410224221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69904.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 2410224221010 its reverse (101224220142), we get a palindrome (2511448441152).

The spelling of 2410224221010 in words is "two trillion, four hundred ten billion, two hundred twenty-four million, two hundred twenty-one thousand, ten".