2000776826880 has 1560 divisors, whose sum is σ = 8183635242552. Its totient is φ = 464762437632.

The previous prime is 2000776826809. The next prime is 2000776826897. The reversal of 2000776826880 is 886286770002.

It can be written as a sum of positive squares in 4 ways, for example, as 389136420864 + 1611640406016 = 623808^2 + 1269504^2 .

It is a tau number, because it is divible by the number of its divisors (1560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7785123712 + ... + 7785123968.

Almost surely, 2^{2000776826880} is an apocalyptic number.

2000776826880 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 2000776826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4091817621276).

2000776826880 is an abundant number, since it is smaller than the sum of its proper divisors (6182858415672).

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

2000776826880 is a wasteful number, since it uses less digits than its factorization.

2000776826880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 2000776826880 in words is "two trillion, seven hundred seventy-six million, eight hundred twenty-six thousand, eight hundred eighty".