2428600224240 has 480 divisors, whose sum is σ = 8715649662720. Its totient is φ = 603923152896.

The previous prime is 2428600224233. The next prime is 2428600224287. The reversal of 2428600224240 is 424220068242.

2428600224240 is a `hidden beast` number, since 2 + 4 + 2 + 8 + 600 + 2 + 2 + 4 + 2 + 40 = 666.

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 = 2428600224195 and 2428600224204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 619697001 + ... + 619700919.

It is an arithmetic number, because the mean of its divisors is an integer number (18157603464).

Almost surely, 2^{2428600224240} is an apocalyptic number.

2428600224240 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 2428600224240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357824831360).

2428600224240 is an abundant number, since it is smaller than the sum of its proper divisors (6287049438480).

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

2428600224240 is a wasteful number, since it uses less digits than its factorization.

2428600224240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4409 (or 4400 counting only the distinct ones).

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

The spelling of 2428600224240 in words is "two trillion, four hundred twenty-eight billion, six hundred million, two hundred twenty-four thousand, two hundred forty".