2428464240 has 240 divisors, whose sum is σ = 8620885728. Its totient is φ = 635102208.

The previous prime is 2428464239. The next prime is 2428464251. The reversal of 2428464240 is 424648242.

It is a happy number.

2428464240 is a `hidden beast` number, since 2 + 4 + 2 + 8 + 4 + 642 + 4 + 0 = 666.

2428464240 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 (240).

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 = 2428464195 and 2428464204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1029142 + ... + 1031498.

Almost surely, 2^2428464240 is an apocalyptic number.

2428464240 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 2428464240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310442864).

2428464240 is an abundant number, since it is smaller than the sum of its proper divisors (6192421488).

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

2428464240 is a wasteful number, since it uses less digits than its factorization.

2428464240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 2428464240 is about 49279.4504839492. The cubic root of 2428464240 is about 1344.1381395002.

The spelling of 2428464240 in words is "two billion, four hundred twenty-eight million, four hundred sixty-four thousand, two hundred forty".