2110938240 has 128 divisors (see below), whose sum is σ = 6755109120. Its totient is φ = 560701440.

The previous prime is 2110938233. The next prime is 2110938251. The reversal of 2110938240 is 428390112.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 2110938198 and 2110938207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 518292 + ... + 522348.

It is an arithmetic number, because the mean of its divisors is an integer number (52774290).

Almost surely, 2^2110938240 is an apocalyptic number.

2110938240 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 2110938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3377554560).

2110938240 is an abundant number, since it is smaller than the sum of its proper divisors (4644170880).

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

2110938240 is a wasteful number, since it uses less digits than its factorization.

2110938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4350 (or 4338 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2110938240 is about 45944.9479268396. The cubic root of 2110938240 is about 1282.7986939610.

The spelling of 2110938240 in words is "two billion, one hundred ten million, nine hundred thirty-eight thousand, two hundred forty".