2649029677056 has 585 divisors, whose sum is σ = 8978487154949. Its totient is φ = 752490676224.

The previous prime is 2649029677033. The next prime is 2649029677069. The reversal of 2649029677056 is 6507769209462.

The square root of 2649029677056 is 1627584.

It is a perfect power (a square), and thus also a powerful number.

2649029677056 is a `hidden beast` number, since 2 + 6 + 490 + 2 + 96 + 7 + 7 + 0 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2409697382400 + 239332294656 = 1552320^2 + 489216^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2649029676984 and 2649029677002.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15312310186 + ... + 15312310358.

Almost surely, 2^{2649029677056} is an apocalyptic number.

2649029677056 is the 1627584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2649029677056

2649029677056 is an abundant number, since it is smaller than the sum of its proper divisors (6329457477893).

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

2649029677056 is an frugal number, since it uses more digits than its factorization.

2649029677056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 2649029677056 in words is "two trillion, six hundred forty-nine billion, twenty-nine million, six hundred seventy-seven thousand, fifty-six".