2426163840 has 320 divisors, whose sum is σ = 9177264360. Its totient is φ = 608698368.

The previous prime is 2426163799. The next prime is 2426163841. The reversal of 2426163840 is 483616242.

2426163840 is a `hidden beast` number, since 2 + 4 + 2 + 616 + 38 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2418278976 + 7884864 = 49176^2 + 2808^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×2426163840³ (a number of 29 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2426163795 and 2426163804.

It is not an unprimeable number, because it can be changed into a prime (2426163841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 879904 + ... + 882656.

Almost surely, 2^2426163840 is an apocalyptic number.

2426163840 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 2426163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4588632180).

2426163840 is an abundant number, since it is smaller than the sum of its proper divisors (6751100520).

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

2426163840 is a wasteful number, since it uses less digits than its factorization.

2426163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2426163840 is about 49256.1045962833. The cubic root of 2426163840 is about 1343.7135869275.

The spelling of 2426163840 in words is "two billion, four hundred twenty-six million, one hundred sixty-three thousand, eight hundred forty".