2010700224 has 168 divisors, whose sum is σ = 6236342112. Its totient is φ = 615720960.

The previous prime is 2010700201. The next prime is 2010700231. The reversal of 2010700224 is 4220070102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2010700197 and 2010700206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1968834 + ... + 1969854.

It is an arithmetic number, because the mean of its divisors is an integer number (37121084).

Almost surely, 2^2010700224 is an apocalyptic number.

2010700224 is a gapful number since it is divisible by the number (24) 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 2010700224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118171056).

2010700224 is an abundant number, since it is smaller than the sum of its proper divisors (4225641888).

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

2010700224 is a wasteful number, since it uses less digits than its factorization.

2010700224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2010700224 is about 44840.8321064630. The cubic root of 2010700224 is about 1262.1639609387.

Adding to 2010700224 its reverse (4220070102), we get a palindrome (6230770326).

The spelling of 2010700224 in words is "two billion, ten million, seven hundred thousand, two hundred twenty-four".