2054047266720 has 288 divisors, whose sum is σ = 7443660369600. Its totient is φ = 514324242432.

The previous prime is 2054047266679. The next prime is 2054047266731. The reversal of 2054047266720 is 276627404502.

It is a happy number.

2054047266720 is a `hidden beast` number, since 2 + 0 + 54 + 0 + 472 + 66 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2054047266720² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2759491 + ... + 3423869.

It is an arithmetic number, because the mean of its divisors is an integer number (25846042950).

Almost surely, 2^{2054047266720} is an apocalyptic number.

2054047266720 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 2054047266720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3721830184800).

2054047266720 is an abundant number, since it is smaller than the sum of its proper divisors (5389613102880).

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

2054047266720 is a wasteful number, since it uses less digits than its factorization.

2054047266720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664532 (or 664521 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 2054047266720 in words is "two trillion, fifty-four billion, forty-seven million, two hundred sixty-six thousand, seven hundred twenty".