2983330381824 has 459 divisors, whose sum is σ = 9386654514627. Its totient is φ = 912641753088.

The previous prime is 2983330381813. The next prime is 2983330381831. The reversal of 2983330381824 is 4281830333892.

The square root of 2983330381824 is 1727232.

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

2983330381824 is a `hidden beast` number, since 29 + 83 + 330 + 38 + 182 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23829479424 + 2959500902400 = 154368^2 + 1720320^2 .

It is a super-2 number, since 2×2983330381824² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17244684202 + ... + 17244684374.

Almost surely, 2^{2983330381824} is an apocalyptic number.

2983330381824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2983330381824 is the 1727232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2983330381824

2983330381824 is an abundant number, since it is smaller than the sum of its proper divisors (6403324132803).

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

2983330381824 is an frugal number, since it uses more digits than its factorization.

2983330381824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 2983330381824 in words is "two trillion, nine hundred eighty-three billion, three hundred thirty million, three hundred eighty-one thousand, eight hundred twenty-four".