2420782560 has 576 divisors, whose sum is σ = 9983361024. Its totient is φ = 522547200.

The previous prime is 2420782549. The next prime is 2420782589. The reversal of 2420782560 is 652870242.

2420782560 is a `hidden beast` number, since 2 + 4 + 20 + 78 + 2 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19061217 + ... + 19061343.

It is an arithmetic number, because the mean of its divisors is an integer number (17332224).

Almost surely, 2^2420782560 is an apocalyptic number.

2420782560 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 2420782560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4991680512).

2420782560 is an abundant number, since it is smaller than the sum of its proper divisors (7562578464).

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

2420782560 is a wasteful number, since it uses less digits than its factorization.

2420782560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2420782560 is about 49201.4487591575. The cubic root of 2420782560 is about 1342.7193902974.

The spelling of 2420782560 in words is "two billion, four hundred twenty million, seven hundred eighty-two thousand, five hundred sixty".