2136195072 has 240 divisors, whose sum is σ = 6920390400. Its totient is φ = 645857280.

The previous prime is 2136195067. The next prime is 2136195091. The reversal of 2136195072 is 2705916312.

2136195072 is a `hidden beast` number, since 2 + 136 + 19 + 507 + 2 = 666.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4865829 + ... + 4866267.

It is an arithmetic number, because the mean of its divisors is an integer number (28834960).

Almost surely, 2^2136195072 is an apocalyptic number.

2136195072 is a gapful number since it is divisible by the number (22) 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 2136195072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460195200).

2136195072 is an abundant number, since it is smaller than the sum of its proper divisors (4784195328).

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

2136195072 is an equidigital number, since it uses as much as digits as its factorization.

2136195072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 2136195072 is about 46218.9903827420. The cubic root of 2136195072 is about 1287.8945427591.

The spelling of 2136195072 in words is "two billion, one hundred thirty-six million, one hundred ninety-five thousand, seventy-two".