2041215120 has 320 divisors, whose sum is σ = 8106147840. Its totient is φ = 462454272.

The previous prime is 2041215107. The next prime is 2041215157. The reversal of 2041215120 is 215121402.

It is a super-2 number, since 2×2041215120² = 8333118332233228800, which contains 22 as substring.

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 = 2041215093 and 2041215102.

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, 1919709 + ... + 1920771.

It is an arithmetic number, because the mean of its divisors is an integer number (25331712).

Almost surely, 2^2041215120 is an apocalyptic number.

2041215120 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 2041215120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053073920).

2041215120 is an abundant number, since it is smaller than the sum of its proper divisors (6064932720).

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

2041215120 is a wasteful number, since it uses less digits than its factorization.

2041215120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2041215120 is about 45179.8087645355. The cubic root of 2041215120 is about 1268.5169038967.

Adding to 2041215120 its reverse (215121402), we get a palindrome (2256336522).

The spelling of 2041215120 in words is "two billion, forty-one million, two hundred fifteen thousand, one hundred twenty".