2420674663680 has 648 divisors, whose sum is σ = 10364735541888. Its totient is φ = 510732877824.

The previous prime is 2420674663679. The next prime is 2420674663763. The reversal of 2420674663680 is 863664760242.

2420674663680 is a `hidden beast` number, since 2 + 4 + 206 + 74 + 6 + 6 + 368 + 0 = 666.

It is a super-2 number, since 2×2420674663680² (a number of 26 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 13539349 + ... + 13716971.

It is an arithmetic number, because the mean of its divisors is an integer number (15994962256).

Almost surely, 2^{2420674663680} is an apocalyptic number.

2420674663680 is a gapful number since it is divisible by the number (20) 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 2420674663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5182367770944).

2420674663680 is an abundant number, since it is smaller than the sum of its proper divisors (7944060878208).

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

2420674663680 is a wasteful number, since it uses less digits than its factorization.

2420674663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177683 (or 177653 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 2420674663680 in words is "two trillion, four hundred twenty billion, six hundred seventy-four million, six hundred sixty-three thousand, six hundred eighty".