2981491134400 has 168 divisors, whose sum is σ = 7427708105184. Its totient is φ = 1177833984000.

The previous prime is 2981491134379. The next prime is 2981491134403. The reversal of 2981491134400 is 44311941892.

2981491134400 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 not an unprimeable number, because it can be changed into a prime (2981491134403) 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, 41761134 + ... + 41832466.

Almost surely, 2^{2981491134400} is an apocalyptic number.

2981491134400 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 2981491134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713854052592).

2981491134400 is an abundant number, since it is smaller than the sum of its proper divisors (4446216970784).

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

2981491134400 is a wasteful number, since it uses less digits than its factorization.

2981491134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71679 (or 71664 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 2981491134400 in words is "two trillion, nine hundred eighty-one billion, four hundred ninety-one million, one hundred thirty-four thousand, four hundred".