2111879497728 has 2304 divisors, whose sum is σ = 8432518348800. Its totient is φ = 455462092800.

The previous prime is 2111879497691. The next prime is 2111879497729. The reversal of 2111879497728 is 8277949781112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (2111879497729) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39846782950 + ... + 39846783002.

It is an arithmetic number, because the mean of its divisors is an integer number (3659947200).

Almost surely, 2^{2111879497728} is an apocalyptic number.

2111879497728 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 2111879497728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216259174400).

2111879497728 is an abundant number, since it is smaller than the sum of its proper divisors (6320638851072).

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

2111879497728 is a wasteful number, since it uses less digits than its factorization.

2111879497728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 139 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 66.

The spelling of 2111879497728 in words is "two trillion, one hundred eleven billion, eight hundred seventy-nine million, four hundred ninety-seven thousand, seven hundred twenty-eight".