2420516986560 has 280 divisors, whose sum is σ = 8690683914000. Its totient is φ = 639438022656.

The previous prime is 2420516986543. The next prime is 2420516986561. The reversal of 2420516986560 is 656896150242.

2420516986560 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 516 + 9 + 8 + 65 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2420516986497 and 2420516986506.

It is not an unprimeable number, because it can be changed into a prime (2420516986561) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2337066 + ... + 3209814.

Almost surely, 2^{2420516986560} is an apocalyptic number.

2420516986560 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 2420516986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345341957000).

2420516986560 is an abundant number, since it is smaller than the sum of its proper divisors (6270166927440).

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

2420516986560 is a wasteful number, since it uses less digits than its factorization.

2420516986560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872885 (or 872866 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 2420516986560 in words is "two trillion, four hundred twenty billion, five hundred sixteen million, nine hundred eighty-six thousand, five hundred sixty".