2136451680 has 192 divisors, whose sum is σ = 8157542400. Its totient is φ = 517916160.

The previous prime is 2136451673. The next prime is 2136451697. The reversal of 2136451680 is 861546312.

It is a happy number.

2136451680 is a `hidden beast` number, since 2 + 1 + 3 + 64 + 516 + 80 = 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25041 + ... + 69999.

It is an arithmetic number, because the mean of its divisors is an integer number (42487200).

Almost surely, 2^2136451680 is an apocalyptic number.

2136451680 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 2136451680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078771200).

2136451680 is an abundant number, since it is smaller than the sum of its proper divisors (6021090720).

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

2136451680 is a wasteful number, since it uses less digits than its factorization.

2136451680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44994 (or 44980 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2136451680 is about 46221.7663011703. The cubic root of 2136451680 is about 1287.9461096494.

Adding to 2136451680 its reverse (861546312), we get a palindrome (2997997992).

The spelling of 2136451680 in words is "two billion, one hundred thirty-six million, four hundred fifty-one thousand, six hundred eighty".