2054819460960 has 576 divisors, whose sum is σ = 8373137572800. Its totient is φ = 469275254784.

The previous prime is 2054819460923. The next prime is 2054819460961. The reversal of 2054819460960 is 690649184502.

2054819460960 is a `hidden beast` number, since 2 + 0 + 548 + 1 + 9 + 4 + 6 + 0 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2054819460897 and 2054819460906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054819460961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 302487324 + ... + 302494116.

It is an arithmetic number, because the mean of its divisors is an integer number (14536697175).

Almost surely, 2^{2054819460960} is an apocalyptic number.

2054819460960 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 2054819460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186568786400).

2054819460960 is an abundant number, since it is smaller than the sum of its proper divisors (6318318111840).

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

2054819460960 is a wasteful number, since it uses less digits than its factorization.

2054819460960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8260 (or 8239 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 2054819460960 in words is "two trillion, fifty-four billion, eight hundred nineteen million, four hundred sixty thousand, nine hundred sixty".