2100413224 has 96 divisors (see below), whose sum is σ = 4951989000. Its totient is φ = 827850240.

The previous prime is 2100413219. The next prime is 2100413239. The reversal of 2100413224 is 4223140012.

It can be written as a sum of positive squares in 4 ways, for example, as 2000772900 + 99640324 = 44730^2 + 9982^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1777914 + ... + 1779094.

Almost surely, 2^2100413224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100413224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475994500).

2100413224 is an abundant number, since it is smaller than the sum of its proper divisors (2851575776).

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

2100413224 is a wasteful number, since it uses less digits than its factorization.

2100413224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2100413224 is about 45830.2653712588. The cubic root of 2100413224 is about 1280.6631540891.

Adding to 2100413224 its reverse (4223140012), we get a palindrome (6323553236).

The spelling of 2100413224 in words is "two billion, one hundred million, four hundred thirteen thousand, two hundred twenty-four".