2428208640 has 720 divisors, whose sum is σ = 10103197104. Its totient is φ = 535265280.

The previous prime is 2428208633. The next prime is 2428208677. The reversal of 2428208640 is 468028242.

It is a happy number.

2428208640 is a `hidden beast` number, since 2 + 4 + 2 + 8 + 2 + 0 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 2428208595 and 2428208604.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 36241887 + ... + 36241953.

Almost surely, 2^2428208640 is an apocalyptic number.

2428208640 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 2428208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5051598552).

2428208640 is an abundant number, since it is smaller than the sum of its proper divisors (7674988464).

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

2428208640 is a wasteful number, since it uses less digits than its factorization.

2428208640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2428208640 is about 49276.8570426321. The cubic root of 2428208640 is about 1344.0909802356.

The spelling of 2428208640 in words is "two billion, four hundred twenty-eight million, two hundred eight thousand, six hundred forty".