2128315061040 has 640 divisors, whose sum is σ = 8145258670080. Its totient is φ = 448826572800.

The previous prime is 2128315061029. The next prime is 2128315061069. The reversal of 2128315061040 is 401605138212.

It is a junction number, because it is equal to n+sod(n) for n = 2128315060992 and 2128315061010.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 995934852 + ... + 995936988.

It is an arithmetic number, because the mean of its divisors is an integer number (12726966672).

Almost surely, 2^{2128315061040} is an apocalyptic number.

2128315061040 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 2128315061040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072629335040).

2128315061040 is an abundant number, since it is smaller than the sum of its proper divisors (6016943609040).

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

2128315061040 is a wasteful number, since it uses less digits than its factorization.

2128315061040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 2128315061040 in words is "two trillion, one hundred twenty-eight billion, three hundred fifteen million, sixty-one thousand, forty".