2981672229744 has 120 divisors (see below), whose sum is σ = 8988745120992. Its totient is φ = 917201134080.

The previous prime is 2981672229737. The next prime is 2981672229749. The reversal of 2981672229744 is 4479222761892.

It is a happy number.

2981672229744 is a `hidden beast` number, since 298 + 16 + 7 + 2 + 2 + 297 + 44 = 666.

2981672229744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2981672229744³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2981672229749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7129309 + ... + 7535939.

Almost surely, 2^{2981672229744} is an apocalyptic number.

2981672229744 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 2981672229744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4494372560496).

2981672229744 is an abundant number, since it is smaller than the sum of its proper divisors (6007072891248).

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

2981672229744 is a wasteful number, since it uses less digits than its factorization.

2981672229744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410575 (or 410566 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 2981672229744 in words is "two trillion, nine hundred eighty-one billion, six hundred seventy-two million, two hundred twenty-nine thousand, seven hundred forty-four".