2107882840 has 64 divisors (see below), whose sum is σ = 5655951360. Its totient is φ = 691278720.

The previous prime is 2107882831. The next prime is 2107882841. The reversal of 2107882840 is 482887012.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2107882793 and 2107882802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107882841) 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 15 ways as a sum of consecutive naturals, for example, 157216 + ... + 170095.

It is an arithmetic number, because the mean of its divisors is an integer number (88374240).

Almost surely, 2^2107882840 is an apocalyptic number.

2107882840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2107882840 is an abundant number, since it is smaller than the sum of its proper divisors (3548068520).

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

2107882840 is a wasteful number, since it uses less digits than its factorization.

2107882840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327352 (or 327348 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The square root of 2107882840 is about 45911.6852228275. The cubic root of 2107882840 is about 1282.1794818330.

The spelling of 2107882840 in words is "two billion, one hundred seven million, eight hundred eighty-two thousand, eight hundred forty".