2010684429360 has 480 divisors, whose sum is σ = 7343498111040. Its totient is φ = 510591320064.

The previous prime is 2010684429349. The next prime is 2010684429367. The reversal of 2010684429360 is 639244860102.

2010684429360 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 68 + 442 + 93 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2010684429367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41130052 + ... + 41178908.

It is an arithmetic number, because the mean of its divisors is an integer number (15298954398).

Almost surely, 2^{2010684429360} is an apocalyptic number.

2010684429360 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 2010684429360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671749055520).

2010684429360 is an abundant number, since it is smaller than the sum of its proper divisors (5332813681680).

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

2010684429360 is a wasteful number, since it uses less digits than its factorization.

2010684429360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48987 (or 48969 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2010684429360 in words is "two trillion, ten billion, six hundred eighty-four million, four hundred twenty-nine thousand, three hundred sixty".