2054375432136 has 320 divisors, whose sum is σ = 6290726112000. Its totient is φ = 624111713280.

The previous prime is 2054375432093. The next prime is 2054375432159. The reversal of 2054375432136 is 6312345734502.

It is a happy number.

2054375432136 is a `hidden beast` number, since 2 + 0 + 5 + 437 + 54 + 32 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2054375432091 and 2054375432100.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40518081 + ... + 40568751.

It is an arithmetic number, because the mean of its divisors is an integer number (19658519100).

Almost surely, 2^{2054375432136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2054375432136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145363056000).

2054375432136 is an abundant number, since it is smaller than the sum of its proper divisors (4236350679864).

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

2054375432136 is a wasteful number, since it uses less digits than its factorization.

2054375432136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50834 (or 50821 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 2054375432136 in words is "two trillion, fifty-four billion, three hundred seventy-five million, four hundred thirty-two thousand, one hundred thirty-six".