2981262561984 has 1344 divisors, whose sum is σ = 10759996735488. Its totient is φ = 771279667200.

The previous prime is 2981262561931. The next prime is 2981262561997. The reversal of 2981262561984 is 4891652621892.

2981262561984 is a `hidden beast` number, since 2 + 9 + 8 + 1 + 2 + 6 + 2 + 5 + 619 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18289954287 + ... + 18289954449.

It is an arithmetic number, because the mean of its divisors is an integer number (8005949952).

Almost surely, 2^{2981262561984} is an apocalyptic number.

2981262561984 is a gapful number since it is divisible by the number (24) 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 2981262561984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5379998367744).

2981262561984 is an abundant number, since it is smaller than the sum of its proper divisors (7778734173504).

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

2981262561984 is a wasteful number, since it uses less digits than its factorization.

2981262561984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 373 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 2981262561984 in words is "two trillion, nine hundred eighty-one billion, two hundred sixty-two million, five hundred sixty-one thousand, nine hundred eighty-four".