2980665193968 has 2400 divisors, whose sum is σ = 12485985988608. Its totient is φ = 663784243200.

The previous prime is 2980665193939. The next prime is 2980665193981. The reversal of 2980665193968 is 8693915660892.

2980665193968 is a `hidden beast` number, since 29 + 80 + 6 + 6 + 519 + 3 + 9 + 6 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2980665193896 and 2980665193905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 18985128546 + ... + 18985128702.

Almost surely, 2^{2980665193968} is an apocalyptic number.

2980665193968 is a gapful number since it is divisible by the number (28) 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 2980665193968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6242992994304).

2980665193968 is an abundant number, since it is smaller than the sum of its proper divisors (9505320794640).

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

2980665193968 is a wasteful number, since it uses less digits than its factorization.

2980665193968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 72.

The spelling of 2980665193968 in words is "two trillion, nine hundred eighty billion, six hundred sixty-five million, one hundred ninety-three thousand, nine hundred sixty-eight".