2054070337536 has 1008 divisors, whose sum is σ = 7316633427264. Its totient is φ = 564135985152.

The previous prime is 2054070337463. The next prime is 2054070337547. The reversal of 2054070337536 is 6357330704502.

2054070337536 is a `hidden beast` number, since 2 + 0 + 5 + 40 + 70 + 3 + 3 + 7 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 2054070337491 and 2054070337500.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24747835351 + ... + 24747835433.

It is an arithmetic number, because the mean of its divisors is an integer number (7258564908).

Almost surely, 2^{2054070337536} 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 2054070337536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658316713632).

2054070337536 is an abundant number, since it is smaller than the sum of its proper divisors (5262563089728).

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

2054070337536 is an frugal number, since it uses more digits than its factorization.

2054070337536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 45.

The spelling of 2054070337536 in words is "two trillion, fifty-four billion, seventy million, three hundred thirty-seven thousand, five hundred thirty-six".