2420566416 has 100 divisors (see below), whose sum is σ = 7057476492. Its totient is φ = 800907264.

The previous prime is 2420566409. The next prime is 2420566429. The reversal of 2420566416 is 6146650242.

2420566416 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 5 + 6 + 641 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1568160000 + 852406416 = 39600^2 + 29196^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 170736 + ... + 184368.

Almost surely, 2^2420566416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420566416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528738246).

2420566416 is an abundant number, since it is smaller than the sum of its proper divisors (4636910076).

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

2420566416 is a wasteful number, since it uses less digits than its factorization.

2420566416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13790 (or 13775 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2420566416 is about 49199.2521894388. The cubic root of 2420566416 is about 1342.6794267221.

The spelling of 2420566416 in words is "two billion, four hundred twenty million, five hundred sixty-six thousand, four hundred sixteen".