2067135840 has 576 divisors, whose sum is σ = 8929170432. Its totient is φ = 423014400.

The previous prime is 2067135809. The next prime is 2067135857. The reversal of 2067135840 is 485317602.

2067135840 is a `hidden beast` number, since 2 + 0 + 6 + 71 + 3 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2067135795 and 2067135804.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 11420550 + ... + 11420730.

It is an arithmetic number, because the mean of its divisors is an integer number (15502032).

Almost surely, 2^2067135840 is an apocalyptic number.

2067135840 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 2067135840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464585216).

2067135840 is an abundant number, since it is smaller than the sum of its proper divisors (6862034592).

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

2067135840 is a wasteful number, since it uses less digits than its factorization.

2067135840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2067135840 is about 45465.7655824688. The cubic root of 2067135840 is about 1273.8638275167.

The spelling of 2067135840 in words is "two billion, sixty-seven million, one hundred thirty-five thousand, eight hundred forty".