2997556882944 has 720 divisors, whose sum is σ = 9183221486208. Its totient is φ = 868280844288.

The previous prime is 2997556882937. The next prime is 2997556882981. The reversal of 2997556882944 is 4492886557992.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a self number, because there is not a number n which added to its sum of digits gives 2997556882944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11397554557 + ... + 11397554819.

Almost surely, 2^{2997556882944} is an apocalyptic number.

2997556882944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2997556882944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4591610743104).

2997556882944 is an abundant number, since it is smaller than the sum of its proper divisors (6185664603264).

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

2997556882944 is a wasteful number, since it uses less digits than its factorization.

2997556882944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 387 counting only the distinct ones).

The product of its digits is 3135283200, while the sum is 78.

The spelling of 2997556882944 in words is "two trillion, nine hundred ninety-seven billion, five hundred fifty-six million, eight hundred eighty-two thousand, nine hundred forty-four".