2077533584448 has 112 divisors (see below), whose sum is σ = 6282998360064. Its totient is φ = 593492912640.

The previous prime is 2077533584443. The next prime is 2077533584459. The reversal of 2077533584448 is 8444853357702.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2077533584448² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2077533584391 and 2077533584400.

It is not an unprimeable number, because it can be changed into a prime (2077533584443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9225513 + ... + 9448023.

Almost surely, 2^{2077533584448} is an apocalyptic number.

2077533584448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2077533584448 is an abundant number, since it is smaller than the sum of its proper divisors (4205464775616).

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

2077533584448 is a wasteful number, since it uses less digits than its factorization.

2077533584448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229480 (or 229470 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 60.

The spelling of 2077533584448 in words is "two trillion, seventy-seven billion, five hundred thirty-three million, five hundred eighty-four thousand, four hundred forty-eight".