2994987264000 has 768 divisors, whose sum is σ = 10222550956800. Its totient is φ = 778272768000.

The previous prime is 2994987263993. The next prime is 2994987264007. The reversal of 2994987264000 is 4627894992.

It is an interprime number because it is at equal distance from previous prime (2994987263993) and next prime (2994987264007).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (2994987264007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7113983790 + ... + 7113984210.

It is an arithmetic number, because the mean of its divisors is an integer number (13310613225).

Almost surely, 2^{2994987264000} is an apocalyptic number.

2994987264000 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 2994987264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5111275478400).

2994987264000 is an abundant number, since it is smaller than the sum of its proper divisors (7227563692800).

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

2994987264000 is a wasteful number, since it uses less digits than its factorization.

2994987264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 2994987264000 in words is "two trillion, nine hundred ninety-four billion, nine hundred eighty-seven million, two hundred sixty-four thousand".