2213463120 has 160 divisors (see below), whose sum is σ = 7645224960. Its totient is φ = 525150720.

The previous prime is 2213463103. The next prime is 2213463137. The reversal of 2213463120 is 213643122.

It is an interprime number because it is at equal distance from previous prime (2213463103) and next prime (2213463137).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115161 + ... + 132999.

It is an arithmetic number, because the mean of its divisors is an integer number (47782656).

Almost surely, 2^2213463120 is an apocalyptic number.

2213463120 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 2213463120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822612480).

2213463120 is an abundant number, since it is smaller than the sum of its proper divisors (5431761840).

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

2213463120 is a wasteful number, since it uses less digits than its factorization.

2213463120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17913 (or 17907 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2213463120 is about 47047.4560417458. The cubic root of 2213463120 is about 1303.2390864812.

The spelling of 2213463120 in words is "two billion, two hundred thirteen million, four hundred sixty-three thousand, one hundred twenty".