2010428041800 has 384 divisors, whose sum is σ = 6698496268800. Its totient is φ = 497311395840.

The previous prime is 2010428041789. The next prime is 2010428041847. The reversal of 2010428041800 is 81408240102.

It is a super-2 number, since 2×2010428041800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 106911199 + ... + 106930001.

It is an arithmetic number, because the mean of its divisors is an integer number (17444000700).

Almost surely, 2^{2010428041800} is an apocalyptic number.

2010428041800 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 2010428041800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349248134400).

2010428041800 is an abundant number, since it is smaller than the sum of its proper divisors (4688068227000).

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

2010428041800 is a wasteful number, since it uses less digits than its factorization.

2010428041800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19037 (or 19028 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The spelling of 2010428041800 in words is "two trillion, ten billion, four hundred twenty-eight million, forty-one thousand, eight hundred".