2428262020800 has 2688 divisors, whose sum is σ = 12199927726080. Its totient is φ = 454002278400.

The previous prime is 2428262020729. The next prime is 2428262020829. The reversal of 2428262020800 is 80202628242.

2428262020800 is a `hidden beast` number, since 2 + 4 + 2 + 8 + 2 + 620 + 20 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1300621467 + ... + 1300623333.

Almost surely, 2^{2428262020800} is an apocalyptic number.

2428262020800 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 2428262020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6099963863040).

2428262020800 is an abundant number, since it is smaller than the sum of its proper divisors (9771665705280).

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

2428262020800 is a wasteful number, since it uses less digits than its factorization.

2428262020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1935 counting only the distinct ones).

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

The spelling of 2428262020800 in words is "two trillion, four hundred twenty-eight billion, two hundred sixty-two million, twenty thousand, eight hundred".