2070101084800 has 384 divisors, whose sum is σ = 5930191872000. Its totient is φ = 699360030720.

The previous prime is 2070101084773. The next prime is 2070101084813. The reversal of 2070101084800 is 84801010702.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1272341587 + ... + 1272343213.

It is an arithmetic number, because the mean of its divisors is an integer number (15443208000).

Almost surely, 2^{2070101084800} is an apocalyptic number.

2070101084800 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 2070101084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965095936000).

2070101084800 is an abundant number, since it is smaller than the sum of its proper divisors (3860090787200).

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

2070101084800 is a wasteful number, since it uses less digits than its factorization.

2070101084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The spelling of 2070101084800 in words is "two trillion, seventy billion, one hundred one million, eighty-four thousand, eight hundred".