2428451283456 has 640 divisors, whose sum is σ = 8198560972800. Its totient is φ = 703033344000.

The previous prime is 2428451283443. The next prime is 2428451283463. The reversal of 2428451283456 is 6543821548242.

2428451283456 is a `hidden beast` number, since 2 + 4 + 2 + 8 + 4 + 512 + 83 + 45 + 6 = 666.

It is a super-2 number, since 2×2428451283456² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 372401476 + ... + 372407996.

It is an arithmetic number, because the mean of its divisors is an integer number (12810251520).

Almost surely, 2^{2428451283456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2428451283456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4099280486400).

2428451283456 is an abundant number, since it is smaller than the sum of its proper divisors (5770109689344).

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

2428451283456 is a wasteful number, since it uses less digits than its factorization.

2428451283456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6669 (or 6647 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The spelling of 2428451283456 in words is "two trillion, four hundred twenty-eight billion, four hundred fifty-one million, two hundred eighty-three thousand, four hundred fifty-six".