10224884670 has 512 divisors, whose sum is σ = 34836480000. Its totient is φ = 1852139520.

The previous prime is 10224884653. The next prime is 10224884689. The reversal of 10224884670 is 7648842201.

It is a super-4 number, since 4×10224884670⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 51381231 + ... + 51381429.

It is an arithmetic number, because the mean of its divisors is an integer number (68040000).

Almost surely, 2^10224884670 is an apocalyptic number.

10224884670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10224884670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240000).

10224884670 is an abundant number, since it is smaller than the sum of its proper divisors (24611595330).

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

10224884670 is a wasteful number, since it uses less digits than its factorization.

10224884670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328.

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 10224884670 in words is "ten billion, two hundred twenty-four million, eight hundred eighty-four thousand, six hundred seventy".