2997948948480 has 896 divisors, whose sum is σ = 10991006069760. Its totient is φ = 774887178240.

The previous prime is 2997948948451. The next prime is 2997948948517. The reversal of 2997948948480 is 848498497992.

It is a happy number.

2997948948480 is a `hidden beast` number, since 2 + 9 + 9 + 7 + 9 + 48 + 94 + 8 + 480 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2997948948480.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7121018670 + ... + 7121019090.

Almost surely, 2^{2997948948480} is an apocalyptic number.

2997948948480 is a gapful number since it is divisible by the number (20) 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 2997948948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5495503034880).

2997948948480 is an abundant number, since it is smaller than the sum of its proper divisors (7993057121280).

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

2997948948480 is a wasteful number, since it uses less digits than its factorization.

2997948948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 3009871872, while the sum is 81.

The spelling of 2997948948480 in words is "two trillion, nine hundred ninety-seven billion, nine hundred forty-eight million, nine hundred forty-eight thousand, four hundred eighty".