2030768411100 has 288 divisors, whose sum is σ = 6911538466560. Its totient is φ = 453869568000.

The previous prime is 2030768411099. The next prime is 2030768411123. The reversal of 2030768411100 is 11148670302.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34762716 + ... + 34821084.

Almost surely, 2^{2030768411100} is an apocalyptic number.

2030768411100 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 2030768411100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3455769233280).

2030768411100 is an abundant number, since it is smaller than the sum of its proper divisors (4880770055460).

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

2030768411100 is a wasteful number, since it uses less digits than its factorization.

2030768411100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59221 (or 59214 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 2030768411100 in words is "two trillion, thirty billion, seven hundred sixty-eight million, four hundred eleven thousand, one hundred".