2735008354656 has 192 divisors, whose sum is σ = 8090979321600. Its totient is φ = 898669790208.

The previous prime is 2735008354633. The next prime is 2735008354703. The reversal of 2735008354656 is 6564538005372.

2735008354656 is a `hidden beast` number, since 2 + 7 + 3 + 500 + 83 + 5 + 4 + 6 + 56 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120266935 + ... + 120289673.

It is an arithmetic number, because the mean of its divisors is an integer number (42140517300).

Almost surely, 2^{2735008354656} 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 2735008354656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4045489660800).

2735008354656 is an abundant number, since it is smaller than the sum of its proper divisors (5355970966944).

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

2735008354656 is a wasteful number, since it uses less digits than its factorization.

2735008354656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24738 (or 24724 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 2735008354656 in words is "two trillion, seven hundred thirty-five billion, eight million, three hundred fifty-four thousand, six hundred fifty-six".