2115839040 has 224 divisors, whose sum is σ = 8129528064. Its totient is φ = 455147520.

The previous prime is 2115839027. The next prime is 2115839083. The reversal of 2115839040 is 409385112.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 2115838992 and 2115839010.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 104980 + ... + 123500.

It is an arithmetic number, because the mean of its divisors is an integer number (36292536).

Almost surely, 2^2115839040 is an apocalyptic number.

2115839040 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 2115839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064764032).

2115839040 is an abundant number, since it is smaller than the sum of its proper divisors (6013689024).

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

2115839040 is a wasteful number, since it uses less digits than its factorization.

2115839040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18565 (or 18555 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 2115839040 is about 45998.2504015098. The cubic root of 2115839040 is about 1283.7906511299.

The spelling of 2115839040 in words is "two billion, one hundred fifteen million, eight hundred thirty-nine thousand, forty".