2064437950848 has 2048 divisors, whose sum is σ = 7896268800000. Its totient is φ = 472103976960.

The previous prime is 2064437950819. The next prime is 2064437950901. The reversal of 2064437950848 is 8480597344602.

It is a junction number, because it is equal to n+sod(n) for n = 2064437950791 and 2064437950800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23195931988 + ... + 23195932076.

It is an arithmetic number, because the mean of its divisors is an integer number (3855600000).

Almost surely, 2^{2064437950848} is an apocalyptic number.

2064437950848 is a gapful number since it is divisible by the number (28) 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 2064437950848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948134400000).

2064437950848 is an abundant number, since it is smaller than the sum of its proper divisors (5831830849152).

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

2064437950848 is a wasteful number, since it uses less digits than its factorization.

2064437950848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 2064437950848 in words is "two trillion, sixty-four billion, four hundred thirty-seven million, nine hundred fifty thousand, eight hundred forty-eight".