2054738016 has 144 divisors (see below), whose sum is σ = 6129723600. Its totient is φ = 676988928.

The previous prime is 2054738003. The next prime is 2054738029. The reversal of 2054738016 is 6108374502.

2054738016 is a `hidden beast` number, since 20 + 547 + 3 + 80 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (2054738003) and next prime (2054738029).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 690580 + ... + 693548.

It is an arithmetic number, because the mean of its divisors is an integer number (42567525).

Almost surely, 2^2054738016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2054738016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064861800).

2054738016 is an abundant number, since it is smaller than the sum of its proper divisors (4074985584).

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

2054738016 is an equidigital number, since it uses as much as digits as its factorization.

2054738016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3083 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2054738016 is about 45329.2181269432. The cubic root of 2054738016 is about 1271.3120167098.

The spelling of 2054738016 in words is "two billion, fifty-four million, seven hundred thirty-eight thousand, sixteen".