2107918080 has 324 divisors, whose sum is σ = 7603471512. Its totient is φ = 559872000.

The previous prime is 2107918079. The next prime is 2107918081. The reversal of 2107918080 is 808197012.

It is an interprime number because it is at equal distance from previous prime (2107918079) and next prime (2107918081).

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107918081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8397955 + ... + 8398205.

Almost surely, 2^2107918080 is an apocalyptic number.

2107918080 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 2107918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801735756).

2107918080 is an abundant number, since it is smaller than the sum of its proper divisors (5495553432).

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

2107918080 is an frugal number, since it uses more digits than its factorization.

2107918080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 2107918080 is about 45912.0690015164. The cubic root of 2107918080 is about 1282.1866270361.

The spelling of 2107918080 in words is "two billion, one hundred seven million, nine hundred eighteen thousand, eighty".