2938762114560 has 2400 divisors, whose sum is σ = 12312447444000. Its totient is φ = 667076788224.

The previous prime is 2938762114549. The next prime is 2938762114567. The reversal of 2938762114560 is 654112678392.

It is a happy number.

2938762114560 is a `hidden beast` number, since 2 + 9 + 3 + 8 + 7 + 62 + 1 + 14 + 560 = 666.

2938762114560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2938762114497 and 2938762114506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2938762114567) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 33019798996 + ... + 33019799084.

It is an arithmetic number, because the mean of its divisors is an integer number (5130186435).

It is a 1-persistent number, because it is pandigital, but 2⋅2938762114560 = 5877524229120 is not.

Almost surely, 2^{2938762114560} is an apocalyptic number.

2938762114560 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 2938762114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6156223722000).

2938762114560 is an abundant number, since it is smaller than the sum of its proper divisors (9373685329440).

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

2938762114560 is a wasteful number, since it uses less digits than its factorization.

2938762114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2938762114560 in words is "two trillion, nine hundred thirty-eight billion, seven hundred sixty-two million, one hundred fourteen thousand, five hundred sixty".