2136894480 has 640 divisors, whose sum is σ = 8959426560. Its totient is φ = 457850880.

The previous prime is 2136894467. The next prime is 2136894481. The reversal of 2136894480 is 844986312.

It is a happy number.

2136894480 is a `hidden beast` number, since 21 + 3 + 68 + 94 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2136894481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22029792 + ... + 22029888.

It is an arithmetic number, because the mean of its divisors is an integer number (13999104).

Almost surely, 2^2136894480 is an apocalyptic number.

2136894480 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 2136894480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479713280).

2136894480 is an abundant number, since it is smaller than the sum of its proper divisors (6822532080).

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

2136894480 is a wasteful number, since it uses less digits than its factorization.

2136894480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2136894480 is about 46226.5560040979. The cubic root of 2136894480 is about 1288.0350832104.

The spelling of 2136894480 in words is "two billion, one hundred thirty-six million, eight hundred ninety-four thousand, four hundred eighty".