2054002046040 has 384 divisors, whose sum is σ = 7914681590400. Its totient is φ = 452007198720.

The previous prime is 2054002046023. The next prime is 2054002046053. The reversal of 2054002046040 is 406402004502.

2054002046040 is a `hidden beast` number, since 2 + 0 + 54 + 0 + 0 + 2 + 0 + 4 + 604 + 0 = 666.

It is a Cunningham number, because it is equal to 1433179²-1.

It is a junction number, because it is equal to n+sod(n) for n = 2054002045995 and 2054002046013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25757430 + ... + 25837050.

It is an arithmetic number, because the mean of its divisors is an integer number (20611149975).

Almost surely, 2^{2054002046040} is an apocalyptic number.

2054002046040 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 2054002046040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957340795200).

2054002046040 is an abundant number, since it is smaller than the sum of its proper divisors (5860679544360).

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

2054002046040 is a wasteful number, since it uses less digits than its factorization.

2054002046040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80027 (or 80020 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The spelling of 2054002046040 in words is "two trillion, fifty-four billion, two million, forty-six thousand, forty", and thus it is an eban number.