2981496377088 has 432 divisors, whose sum is σ = 9444330779520. Its totient is φ = 935469969408.

The previous prime is 2981496377033. The next prime is 2981496377117. The reversal of 2981496377088 is 8807736941892.

2981496377088 is a `hidden beast` number, since 2 + 98 + 1 + 4 + 96 + 377 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185558431 + ... + 185574497.

Almost surely, 2^{2981496377088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2981496377088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4722165389760).

2981496377088 is an abundant number, since it is smaller than the sum of its proper divisors (6462834402432).

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

2981496377088 is a wasteful number, since it uses less digits than its factorization.

2981496377088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16274 (or 16248 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 2981496377088 in words is "two trillion, nine hundred eighty-one billion, four hundred ninety-six million, three hundred seventy-seven thousand, eighty-eight".