2136948480 has 180 divisors, whose sum is σ = 7646763432. Its totient is φ = 569825280.

The previous prime is 2136948403. The next prime is 2136948481. The reversal of 2136948480 is 848496312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136948481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 93375 + ... + 113985.

Almost surely, 2^2136948480 is an apocalyptic number.

2136948480 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 2136948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823381716).

2136948480 is an abundant number, since it is smaller than the sum of its proper divisors (5509814952).

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

2136948480 is an equidigital number, since it uses as much as digits as its factorization.

2136948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20644 (or 20621 counting only the distinct ones).

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

The square root of 2136948480 is about 46227.1400802602. The cubic root of 2136948480 is about 1288.0459328037.

The spelling of 2136948480 in words is "two billion, one hundred thirty-six million, nine hundred forty-eight thousand, four hundred eighty".