2050218709248 has 144 divisors (see below), whose sum is σ = 5779576103616. Its totient is φ = 642979921920.

The previous prime is 2050218709247. The next prime is 2050218709271. The reversal of 2050218709248 is 8429078120502.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2050218709197 and 2050218709206.

It is not an unprimeable number, because it can be changed into a prime (2050218709247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 39285540 + ... + 39337692.

It is an arithmetic number, because the mean of its divisors is an integer number (40135945164).

Almost surely, 2^{2050218709248} 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 2050218709248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889788051808).

2050218709248 is an abundant number, since it is smaller than the sum of its proper divisors (3729357394368).

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

2050218709248 is a wasteful number, since it uses less digits than its factorization.

2050218709248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55200 (or 55186 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 2050218709248 in words is "two trillion, fifty billion, two hundred eighteen million, seven hundred nine thousand, two hundred forty-eight".