2107416220 has 96 divisors (see below), whose sum is σ = 5767348608. Its totient is φ = 627720192.

The previous prime is 2107416211. The next prime is 2107416229. The reversal of 2107416220 is 226147012.

It is an interprime number because it is at equal distance from previous prime (2107416211) and next prime (2107416229).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107416229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3117 + ... + 64996.

It is an arithmetic number, because the mean of its divisors is an integer number (60076548).

Almost surely, 2^2107416220 is an apocalyptic number.

2107416220 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 2107416220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883674304).

2107416220 is an abundant number, since it is smaller than the sum of its proper divisors (3659932388).

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

2107416220 is a wasteful number, since it uses less digits than its factorization.

2107416220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68159 (or 68157 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 2107416220 is about 45906.6032287295. The cubic root of 2107416220 is about 1282.0848632372.

The spelling of 2107416220 in words is "two billion, one hundred seven million, four hundred sixteen thousand, two hundred twenty".