2106599040 has 384 divisors, whose sum is σ = 8955273600. Its totient is φ = 444358656.

The previous prime is 2106599023. The next prime is 2106599041. The reversal of 2106599040 is 409956012.

2106599040 is a `hidden beast` number, since 21 + 0 + 6 + 599 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 2106598986 and 2106599004.

It is not an unprimeable number, because it can be changed into a prime (2106599041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 522151 + ... + 526169.

It is an arithmetic number, because the mean of its divisors is an integer number (23321025).

Almost surely, 2^2106599040 is an apocalyptic number.

2106599040 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 2106599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477636800).

2106599040 is an abundant number, since it is smaller than the sum of its proper divisors (6848674560).

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

2106599040 is a wasteful number, since it uses less digits than its factorization.

2106599040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2106599040 is about 45897.7019032544. The cubic root of 2106599040 is about 1281.9191263905.

The spelling of 2106599040 in words is "two billion, one hundred six million, five hundred ninety-nine thousand, forty".