2428686892800 has 1080 divisors, whose sum is σ = 10322908041600. Its totient is φ = 551879516160.

The previous prime is 2428686892789. The next prime is 2428686892811. The reversal of 2428686892800 is 82986868242.

2428686892800 is a `hidden beast` number, since 2 + 428 + 68 + 68 + 92 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2428686892789) and next prime (2428686892811).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 649553331 + ... + 649557069.

Almost surely, 2^{2428686892800} is an apocalyptic number.

2428686892800 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 2428686892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5161454020800).

2428686892800 is an abundant number, since it is smaller than the sum of its proper divisors (7894221148800).

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

2428686892800 is a wasteful number, since it uses less digits than its factorization.

2428686892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3963 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 2428686892800 in words is "two trillion, four hundred twenty-eight billion, six hundred eighty-six million, eight hundred ninety-two thousand, eight hundred".