2136852480 has 384 divisors, whose sum is σ = 8239795200. Its totient is φ = 461832192.

The previous prime is 2136852433. The next prime is 2136852511. The reversal of 2136852480 is 842586312.

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

It is a super-2 number, since 2×2136852480² = 9132277042564300800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4085499 + ... + 4086021.

It is an arithmetic number, because the mean of its divisors is an integer number (21457800).

Almost surely, 2^2136852480 is an apocalyptic number.

2136852480 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 2136852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119897600).

2136852480 is an abundant number, since it is smaller than the sum of its proper divisors (6102942720).

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

2136852480 is a wasteful number, since it uses less digits than its factorization.

2136852480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 2136852480 is about 46226.1017175362. The cubic root of 2136852480 is about 1288.0266445114.

The spelling of 2136852480 in words is "two billion, one hundred thirty-six million, eight hundred fifty-two thousand, four hundred eighty".