2210002120 has 16 divisors (see below), whose sum is σ = 4972504860. Its totient is φ = 884000832.

The previous prime is 2210002103. The next prime is 2210002129. The reversal of 2210002120 is 212000122.

2210002120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2014393924 + 195608196 = 44882^2 + 13986^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2210002097 and 2210002106.

It is not an unprimeable number, because it can be changed into a prime (2210002129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27624987 + ... + 27625066.

Almost surely, 2^2210002120 is an apocalyptic number.

2210002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210002120 is an abundant number, since it is smaller than the sum of its proper divisors (2762502740).

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

2210002120 is a wasteful number, since it uses less digits than its factorization.

2210002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55250064 (or 55250060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2210002120 is about 47010.6596422556. The cubic root of 2210002120 is about 1302.5594782270.

Adding to 2210002120 its reverse (212000122), we get a palindrome (2422002242).

It can be divided in two parts, 2210002 and 120, that added together give a palindrome (2210122).

The spelling of 2210002120 in words is "two billion, two hundred ten million, two thousand, one hundred twenty".