2797349821056 has 640 divisors, whose sum is σ = 9767968277760. Its totient is φ = 778008084480.

The previous prime is 2797349821051. The next prime is 2797349821061. The reversal of 2797349821056 is 6501289437972.

2797349821056 is a `hidden beast` number, since 2 + 7 + 9 + 73 + 498 + 21 + 0 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (2797349821051) and next prime (2797349821061).

It is a super-3 number, since 3×2797349821056³ (a number of 38 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2797349820984 and 2797349821002.

It is not an unprimeable number, because it can be changed into a prime (2797349821051) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1925222826 + ... + 1925224278.

It is an arithmetic number, because the mean of its divisors is an integer number (15262450434).

It is a 1-persistent number, because it is pandigital, but 2⋅2797349821056 = 5594699642112 is not.

Almost surely, 2^{2797349821056} 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 2797349821056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883984138880).

2797349821056 is an abundant number, since it is smaller than the sum of its proper divisors (6970618456704).

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

2797349821056 is a wasteful number, since it uses less digits than its factorization.

2797349821056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 2797349821056 in words is "two trillion, seven hundred ninety-seven billion, three hundred forty-nine million, eight hundred twenty-one thousand, fifty-six".