2214006120 has 96 divisors (see below), whose sum is σ = 7229869920. Its totient is φ = 587583360.

The previous prime is 2214006083. The next prime is 2214006133. The reversal of 2214006120 is 216004122.

2214006120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 2214006093 and 2214006102.

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, 61387 + ... + 90533.

It is an arithmetic number, because the mean of its divisors is an integer number (75311145).

Almost surely, 2^2214006120 is an apocalyptic number.

2214006120 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 2214006120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3614934960).

2214006120 is an abundant number, since it is smaller than the sum of its proper divisors (5015863800).

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

2214006120 is a wasteful number, since it uses less digits than its factorization.

2214006120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29375 (or 29368 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2214006120 is about 47053.2264568542. The cubic root of 2214006120 is about 1303.3456466431.

The spelling of 2214006120 in words is "two billion, two hundred fourteen million, six thousand, one hundred twenty".