2998152480960 has 2240 divisors, whose sum is σ = 13696573169664. Its totient is φ = 605557555200.

The previous prime is 2998152480949. The next prime is 2998152481001. The reversal of 2998152480960 is 690842518992.

2998152480960 is a `hidden beast` number, since 2 + 9 + 98 + 1 + 5 + 2 + 480 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

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 319 ways as a sum of consecutive naturals, for example, 9578761764 + ... + 9578762076.

Almost surely, 2^{2998152480960} is an apocalyptic number.

2998152480960 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 2998152480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6848286584832).

2998152480960 is an abundant number, since it is smaller than the sum of its proper divisors (10698420688704).

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

2998152480960 is a wasteful number, since it uses less digits than its factorization.

2998152480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 2998152480960 in words is "two trillion, nine hundred ninety-eight billion, one hundred fifty-two million, four hundred eighty thousand, nine hundred sixty".