2141878747008 has 768 divisors, whose sum is σ = 7905335800320. Its totient is φ = 499621478400.

The previous prime is 2141878747003. The next prime is 2141878747031. The reversal of 2141878747008 is 8007478781412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141878747003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 156437443 + ... + 156451133.

It is an arithmetic number, because the mean of its divisors is an integer number (10293405990).

Almost surely, 2^{2141878747008} is an apocalyptic number.

2141878747008 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 2141878747008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952667900160).

2141878747008 is an abundant number, since it is smaller than the sum of its proper divisors (5763457053312).

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

2141878747008 is a wasteful number, since it uses less digits than its factorization.

2141878747008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13787 (or 13764 counting only the distinct ones).

The product of its (nonzero) digits is 5619712, while the sum is 57.

The spelling of 2141878747008 in words is "two trillion, one hundred forty-one billion, eight hundred seventy-eight million, seven hundred forty-seven thousand, eight".