2426780736 has 336 divisors, whose sum is σ = 7808463936. Its totient is φ = 744505344.

The previous prime is 2426780677. The next prime is 2426780737. The reversal of 2426780736 is 6370876242.

It is a junction number, because it is equal to n+sod(n) for n = 2426780691 and 2426780700.

It is not an unprimeable number, because it can be changed into a prime (2426780737) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17713660 + ... + 17713796.

It is an arithmetic number, because the mean of its divisors is an integer number (23239476).

Almost surely, 2^2426780736 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 2426780736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3904231968).

2426780736 is an abundant number, since it is smaller than the sum of its proper divisors (5381683200).

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

2426780736 is a wasteful number, since it uses less digits than its factorization.

2426780736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 2426780736 is about 49262.3663256243. The cubic root of 2426780736 is about 1343.8274650968.

The spelling of 2426780736 in words is "two billion, four hundred twenty-six million, seven hundred eighty thousand, seven hundred thirty-six".