2999142780480 has 2016 divisors, whose sum is σ = 13690174417920. Its totient is φ = 617964318720.

The previous prime is 2999142780479. The next prime is 2999142780481. The reversal of 2999142780480 is 840872419992.

2999142780480 is a `hidden beast` number, since 2 + 9 + 9 + 9 + 142 + 7 + 8 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (2999142780479) and next prime (2999142780481).

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is not an unprimeable number, because it can be changed into a prime (2999142780481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6831760101 + ... + 6831760539.

It is an arithmetic number, because the mean of its divisors is an integer number (6790761120).

Almost surely, 2^{2999142780480} is an apocalyptic number.

2999142780480 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 2999142780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6845087208960).

2999142780480 is an abundant number, since it is smaller than the sum of its proper divisors (10691031637440).

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

2999142780480 is a wasteful number, since it uses less digits than its factorization.

2999142780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 2999142780480 in words is "two trillion, nine hundred ninety-nine billion, one hundred forty-two million, seven hundred eighty thousand, four hundred eighty".