2010500352000 has 2112 divisors, whose sum is σ = 9053152617600. Its totient is φ = 435356467200.

The previous prime is 2010500351989. The next prime is 2010500352017. The reversal of 2010500352000 is 2530050102.

It is a happy number.

It is a super-2 number, since 2×2010500352000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 105815807991 + ... + 105815808009.

Almost surely, 2^{2010500352000} is an apocalyptic number.

2010500352000 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 2010500352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526576308800).

2010500352000 is an abundant number, since it is smaller than the sum of its proper divisors (7042652265600).

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

2010500352000 is an frugal number, since it uses more digits than its factorization.

2010500352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The spelling of 2010500352000 in words is "two trillion, ten billion, five hundred million, three hundred fifty-two thousand".