2241505620 has 144 divisors (see below), whose sum is σ = 7175226240. Its totient is φ = 564841728.

The previous prime is 2241505619. The next prime is 2241505633. The reversal of 2241505620 is 265051422.

2241505620 is a `hidden beast` number, since 2 + 24 + 15 + 0 + 5 + 620 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2212234 + ... + 2213246.

It is an arithmetic number, because the mean of its divisors is an integer number (49827960).

Almost surely, 2^2241505620 is an apocalyptic number.

2241505620 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 2241505620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587613120).

2241505620 is an abundant number, since it is smaller than the sum of its proper divisors (4933720620).

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

2241505620 is a wasteful number, since it uses less digits than its factorization.

2241505620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2241505620 is about 47344.5416072434. The cubic root of 2241505620 is about 1308.7196121602.

The spelling of 2241505620 in words is "two billion, two hundred forty-one million, five hundred five thousand, six hundred twenty".