2984741246664 has 24 divisors (see below), whose sum is σ = 8083674209910. Its totient is φ = 994913748864.

The previous prime is 2984741246657. The next prime is 2984741246701. The reversal of 2984741246664 is 4666421474892.

It can be written as a sum of positive squares in only one way, i.e., 2595417660900 + 389323585764 = 1611030^2 + 623958^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2984741246664² (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 5 ways as a sum of consecutive naturals, for example, 20727369697 + ... + 20727369840.

Almost surely, 2^{2984741246664} is an apocalyptic number.

2984741246664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2984741246664 is an abundant number, since it is smaller than the sum of its proper divisors (5098932963246).

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

2984741246664 is a wasteful number, since it uses less digits than its factorization.

2984741246664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41454739549 (or 41454739542 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 63.

The spelling of 2984741246664 in words is "two trillion, nine hundred eighty-four billion, seven hundred forty-one million, two hundred forty-six thousand, six hundred sixty-four".