2634455257056 has 240 divisors, whose sum is σ = 8858272389120. Its totient is φ = 752397569280.

The previous prime is 2634455257043. The next prime is 2634455257069. The reversal of 2634455257056 is 6507525544362.

2634455257056 is a `hidden beast` number, since 2 + 6 + 3 + 4 + 45 + 525 + 70 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2634455257043) and next prime (2634455257069).

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

It is a junction number, because it is equal to n+sod(n) for n = 2634455256993 and 2634455257011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46983085 + ... + 47039123.

It is an arithmetic number, because the mean of its divisors is an integer number (36909468288).

Almost surely, 2^{2634455257056} 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 2634455257056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4429136194560).

2634455257056 is an abundant number, since it is smaller than the sum of its proper divisors (6223817132064).

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

2634455257056 is a wasteful number, since it uses less digits than its factorization.

2634455257056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58659 (or 58642 counting only the distinct ones).

The product of its (nonzero) digits is 30240000, while the sum is 54.

The spelling of 2634455257056 in words is "two trillion, six hundred thirty-four billion, four hundred fifty-five million, two hundred fifty-seven thousand, fifty-six".