2039394560448 has 448 divisors, whose sum is σ = 6513015168000. Its totient is φ = 562520125440.

The previous prime is 2039394560443. The next prime is 2039394560591. The reversal of 2039394560448 is 8440654939302.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2039394560448² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2039394560443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 319200838 + ... + 319207226.

Almost surely, 2^{2039394560448} is an apocalyptic number.

2039394560448 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 2039394560448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256507584000).

2039394560448 is an abundant number, since it is smaller than the sum of its proper divisors (4473620607552).

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

2039394560448 is a wasteful number, since it uses less digits than its factorization.

2039394560448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6593 (or 6569 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 57.

The spelling of 2039394560448 in words is "two trillion, thirty-nine billion, three hundred ninety-four million, five hundred sixty thousand, four hundred forty-eight".