2054447777760 has 1152 divisors, whose sum is σ = 8185086443520. Its totient is φ = 423766425600.

The previous prime is 2054447777749. The next prime is 2054447777779. The reversal of 2054447777760 is 677777444502.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2054447777694 and 2054447777703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4184211115 + ... + 4184211605.

It is an arithmetic number, because the mean of its divisors is an integer number (7105109760).

Almost surely, 2^{2054447777760} is an apocalyptic number.

2054447777760 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 2054447777760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092543221760).

2054447777760 is an abundant number, since it is smaller than the sum of its proper divisors (6130638665760).

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

2054447777760 is a wasteful number, since it uses less digits than its factorization.

2054447777760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 64538880, while the sum is 60.

The spelling of 2054447777760 in words is "two trillion, fifty-four billion, four hundred forty-seven million, seven hundred seventy-seven thousand, seven hundred sixty".