2981499935040 has 448 divisors, whose sum is σ = 12149220222720. Its totient is φ = 680270561280.

The previous prime is 2981499935003. The next prime is 2981499935069. The reversal of 2981499935040 is 405399941892.

2981499935040 is a `hidden beast` number, since 2 + 9 + 8 + 1 + 499 + 93 + 50 + 4 + 0 = 666.

2981499935040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 693004 + ... + 2538356.

It is an arithmetic number, because the mean of its divisors is an integer number (27118795140).

Almost surely, 2^{2981499935040} is an apocalyptic number.

2981499935040 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 2981499935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6074610111360).

2981499935040 is an abundant number, since it is smaller than the sum of its proper divisors (9167720287680).

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

2981499935040 is a wasteful number, since it uses less digits than its factorization.

2981499935040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845407 (or 1845391 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 2981499935040 in words is "two trillion, nine hundred eighty-one billion, four hundred ninety-nine million, nine hundred thirty-five thousand, forty".