2653305634056 has 192 divisors, whose sum is σ = 8343580291200. Its totient is φ = 688270049280.

The previous prime is 2653305634039. The next prime is 2653305634073. The reversal of 2653305634056 is 6504365033562.

It is a happy number.

2653305634056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2653305634039) and next prime (2653305634073).

It is a super-2 number, since 2×2653305634056² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2653305633996 and 2653305634014.

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, 15547366 + ... + 15717098.

It is an arithmetic number, because the mean of its divisors is an integer number (43456147350).

Almost surely, 2^{2653305634056} 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 2653305634056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4171790145600).

2653305634056 is an abundant number, since it is smaller than the sum of its proper divisors (5690274657144).

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

2653305634056 is a wasteful number, since it uses less digits than its factorization.

2653305634056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170540 (or 170525 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 48.

The spelling of 2653305634056 in words is "two trillion, six hundred fifty-three billion, three hundred five million, six hundred thirty-four thousand, fifty-six".