2038942210560 has 320 divisors, whose sum is σ = 6652197446400. Its totient is φ = 532657078272.

The previous prime is 2038942210519. The next prime is 2038942210561. The reversal of 2038942210560 is 650122498302.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (2038942210561) 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 31 ways as a sum of consecutive naturals, for example, 74489997 + ... + 74517363.

It is an arithmetic number, because the mean of its divisors is an integer number (20788117020).

Almost surely, 2^{2038942210560} is an apocalyptic number.

2038942210560 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 2038942210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326098723200).

2038942210560 is an abundant number, since it is smaller than the sum of its proper divisors (4613255235840).

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

2038942210560 is a wasteful number, since it uses less digits than its factorization.

2038942210560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27591 (or 27575 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 2038942210560 in words is "two trillion, thirty-eight billion, nine hundred forty-two million, two hundred ten thousand, five hundred sixty".