2064007895040 has 2304 divisors, whose sum is σ = 9643504066560. Its totient is φ = 395795496960.

The previous prime is 2064007895021. The next prime is 2064007895051. The reversal of 2064007895040 is 405987004602.

It is a happy number.

2064007895040 is a `hidden beast` number, since 2 + 0 + 64 + 0 + 0 + 7 + 89 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-4 number, since 4×2064007895040⁴ (a number of 50 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4419716887 + ... + 4419717353.

It is an arithmetic number, because the mean of its divisors is an integer number (4185548640).

Almost surely, 2^{2064007895040} is an apocalyptic number.

2064007895040 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 2064007895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821752033280).

2064007895040 is an abundant number, since it is smaller than the sum of its proper divisors (7579496171520).

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

2064007895040 is a wasteful number, since it uses less digits than its factorization.

2064007895040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2064007895040 in words is "two trillion, sixty-four billion, seven million, eight hundred ninety-five thousand, forty".