2938249668480 has 256 divisors, whose sum is σ = 10706246530560. Its totient is φ = 671435366400.

The previous prime is 2938249668479. The next prime is 2938249668503. The reversal of 2938249668480 is 848669428392.

It is a super-2 number, since 2×2938249668480² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59796882 + ... + 59845998.

It is an arithmetic number, because the mean of its divisors is an integer number (41821275510).

Almost surely, 2^{2938249668480} is an apocalyptic number.

2938249668480 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 2938249668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353123265280).

2938249668480 is an abundant number, since it is smaller than the sum of its proper divisors (7767996862080).

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

2938249668480 is a wasteful number, since it uses less digits than its factorization.

2938249668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53597 (or 53585 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 69.

The spelling of 2938249668480 in words is "two trillion, nine hundred thirty-eight billion, two hundred forty-nine million, six hundred sixty-eight thousand, four hundred eighty".