2984048640000 has 1200 divisors, whose sum is σ = 11350132295040. Its totient is φ = 774144000000.

The previous prime is 2984048639989. The next prime is 2984048640007. The reversal of 2984048640000 is 468404892.

2984048640000 is a `hidden beast` number, since 2 + 98 + 40 + 486 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2984048640007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11888639875 + ... + 11888640125.

Almost surely, 2^{2984048640000} is an apocalyptic number.

2984048640000 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 2984048640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5675066147520).

2984048640000 is an abundant number, since it is smaller than the sum of its proper divisors (8366083655040).

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

2984048640000 is an frugal number, since it uses more digits than its factorization.

2984048640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 2984048640000 in words is "two trillion, nine hundred eighty-four billion, forty-eight million, six hundred forty thousand".