2423782560 has 96 divisors (see below), whose sum is σ = 7649328960. Its totient is φ = 645122048.

The previous prime is 2423782541. The next prime is 2423782577. The reversal of 2423782560 is 652873242.

2423782560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265756 + ... + 274724.

It is an arithmetic number, because the mean of its divisors is an integer number (79680510).

Almost surely, 2^2423782560 is an apocalyptic number.

2423782560 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 2423782560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824664480).

2423782560 is an abundant number, since it is smaller than the sum of its proper divisors (5225546400).

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

2423782560 is a wasteful number, since it uses less digits than its factorization.

2423782560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9550 (or 9542 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 2423782560 is about 49231.9262267891. The cubic root of 2423782560 is about 1343.2738246901.

The spelling of 2423782560 in words is "two billion, four hundred twenty-three million, seven hundred eighty-two thousand, five hundred sixty".