2214501120 has 720 divisors, whose sum is σ = 8974893312. Its totient is φ = 517570560.

The previous prime is 2214501083. The next prime is 2214501131. The reversal of 2214501120 is 211054122.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 2214501093 and 2214501102.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41783014 + ... + 41783066.

Almost surely, 2^2214501120 is an apocalyptic number.

2214501120 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 2214501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4487446656).

2214501120 is an abundant number, since it is smaller than the sum of its proper divisors (6760392192).

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

2214501120 is a wasteful number, since it uses less digits than its factorization.

2214501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

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

The square root of 2214501120 is about 47058.4861634966. The cubic root of 2214501120 is about 1303.4427719423.

Adding to 2214501120 its reverse (211054122), we get a palindrome (2425555242).

The spelling of 2214501120 in words is "two billion, two hundred fourteen million, five hundred one thousand, one hundred twenty".