2426645520 has 320 divisors, whose sum is σ = 9111916800. Its totient is φ = 590008320.

The previous prime is 2426645513. The next prime is 2426645593. The reversal of 2426645520 is 255466242.

2426645520 is a `hidden beast` number, since 2 + 4 + 2 + 6 + 645 + 5 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2498635 + ... + 2499605.

It is an arithmetic number, because the mean of its divisors is an integer number (28474740).

Almost surely, 2^2426645520 is an apocalyptic number.

2426645520 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 2426645520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4555958400).

2426645520 is an abundant number, since it is smaller than the sum of its proper divisors (6685271280).

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

2426645520 is a wasteful number, since it uses less digits than its factorization.

2426645520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2426645520 is about 49260.9938998393. The cubic root of 2426645520 is about 1343.8025060572.

The spelling of 2426645520 in words is "two billion, four hundred twenty-six million, six hundred forty-five thousand, five hundred twenty".