2992803582240 has 384 divisors, whose sum is σ = 11282839142400. Its totient is φ = 738755804160.

The previous prime is 2992803582239. The next prime is 2992803582253. The reversal of 2992803582240 is 422853082992.

It is a happy number.

2992803582240 is a `hidden beast` number, since 2 + 9 + 9 + 280 + 358 + 2 + 2 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2594341 + ... + 3565979.

It is an arithmetic number, because the mean of its divisors is an integer number (29382393600).

Almost surely, 2^{2992803582240} is an apocalyptic number.

2992803582240 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 2992803582240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5641419571200).

2992803582240 is an abundant number, since it is smaller than the sum of its proper divisors (8290035560160).

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

2992803582240 is a wasteful number, since it uses less digits than its factorization.

2992803582240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971717 (or 971703 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2992803582240 in words is "two trillion, nine hundred ninety-two billion, eight hundred three million, five hundred eighty-two thousand, two hundred forty".