2029780085760 has 1056 divisors, whose sum is σ = 8501241176064. Its totient is φ = 437944320000.

The previous prime is 2029780085737. The next prime is 2029780085777. The reversal of 2029780085760 is 675800879202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2029780085697 and 2029780085706.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 409971285 + ... + 409976235.

Almost surely, 2^{2029780085760} is an apocalyptic number.

2029780085760 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 2029780085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250620588032).

2029780085760 is an abundant number, since it is smaller than the sum of its proper divisors (6471461090304).

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

2029780085760 is a wasteful number, since it uses less digits than its factorization.

2029780085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5061 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 2029780085760 in words is "two trillion, twenty-nine billion, seven hundred eighty million, eighty-five thousand, seven hundred sixty".