2067757221248 has 128 divisors (see below), whose sum is σ = 4269187641600. Its totient is φ = 996811315200.

The previous prime is 2067757221247. The next prime is 2067757221253. The reversal of 2067757221248 is 8421227577602.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2067757221248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2067757221247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386421773 + ... + 386427123.

It is an arithmetic number, because the mean of its divisors is an integer number (33353028450).

Almost surely, 2^{2067757221248} 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 2067757221248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134593820800).

2067757221248 is an abundant number, since it is smaller than the sum of its proper divisors (2201430420352).

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

2067757221248 is a wasteful number, since it uses less digits than its factorization.

2067757221248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6128 (or 6116 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 53.

The spelling of 2067757221248 in words is "two trillion, sixty-seven billion, seven hundred fifty-seven million, two hundred twenty-one thousand, two hundred forty-eight".