2938556540340 has 384 divisors, whose sum is σ = 9448744919040. Its totient is φ = 757703808000.

The previous prime is 2938556540329. The next prime is 2938556540341. The reversal of 2938556540340 is 430456558392.

It is a happy number.

2938556540340 is a `hidden beast` number, since 2 + 9 + 3 + 8 + 5 + 56 + 540 + 3 + 40 = 666.

It is a super-3 number, since 3×2938556540340³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2938556540341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2149638337 + ... + 2149639703.

It is an arithmetic number, because the mean of its divisors is an integer number (24606106560).

Almost surely, 2^{2938556540340} is an apocalyptic number.

2938556540340 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 2938556540340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4724372459520).

2938556540340 is an abundant number, since it is smaller than the sum of its proper divisors (6510188378700).

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

2938556540340 is a wasteful number, since it uses less digits than its factorization.

2938556540340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 2938556540340 in words is "two trillion, nine hundred thirty-eight billion, five hundred fifty-six million, five hundred forty thousand, three hundred forty".