2981506703616 has 567 divisors, whose sum is σ = 10397989738143. Its totient is φ = 850367185920.

The previous prime is 2981506703597. The next prime is 2981506703629. The reversal of 2981506703616 is 6163076051892.

The square root of 2981506703616 is 1726704.

It is a perfect power (a square), and thus also a powerful number.

2981506703616 is a `hidden beast` number, since 2 + 9 + 8 + 1 + 506 + 70 + 3 + 61 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (567).

It is a super-3 number, since 3×2981506703616³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 5221552611 + ... + 5221553181.

Almost surely, 2^{2981506703616} is an apocalyptic number.

2981506703616 is the 1726704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2981506703616

2981506703616 is an abundant number, since it is smaller than the sum of its proper divisors (7416483034527).

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

2981506703616 is an frugal number, since it uses more digits than its factorization.

2981506703616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 2981506703616 in words is "two trillion, nine hundred eighty-one billion, five hundred six million, seven hundred three thousand, six hundred sixteen".