2136109248 has 336 divisors, whose sum is σ = 7642043136. Its totient is φ = 555448320.

The previous prime is 2136109243. The next prime is 2136109277. The reversal of 2136109248 is 8429016312.

2136109248 is a `hidden beast` number, since 2 + 13 + 610 + 9 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2136109248² = 9125925438782251008, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136109243) 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, 4350283 + ... + 4350773.

It is an arithmetic number, because the mean of its divisors is an integer number (22744176).

Almost surely, 2^2136109248 is an apocalyptic number.

2136109248 is a gapful number since it is divisible by the number (28) 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 2136109248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821021568).

2136109248 is an abundant number, since it is smaller than the sum of its proper divisors (5505933888).

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

2136109248 is a wasteful number, since it uses less digits than its factorization.

2136109248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2136109248 is about 46218.0619238843. The cubic root of 2136109248 is about 1287.8772949988.

The spelling of 2136109248 in words is "two billion, one hundred thirty-six million, one hundred nine thousand, two hundred forty-eight".