2107191540 has 96 divisors (see below), whose sum is σ = 6011994240. Its totient is φ = 551333376.

The previous prime is 2107191521. The next prime is 2107191547. The reversal of 2107191540 is 451917012.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2107191498 and 2107191507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107191547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1176966 + ... + 1178754.

It is an arithmetic number, because the mean of its divisors is an integer number (62624940).

Almost surely, 2^2107191540 is an apocalyptic number.

2107191540 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 2107191540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005997120).

2107191540 is an abundant number, since it is smaller than the sum of its proper divisors (3904802700).

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

2107191540 is a wasteful number, since it uses less digits than its factorization.

2107191540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 2107191540 is about 45904.1560209966. The cubic root of 2107191540 is about 1282.0392989009.

The spelling of 2107191540 in words is "two billion, one hundred seven million, one hundred ninety-one thousand, five hundred forty".