2010434204688 has 320 divisors, whose sum is σ = 6478624008192. Its totient is φ = 523099607040.

The previous prime is 2010434204657. The next prime is 2010434204693. The reversal of 2010434204688 is 8864024340102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 97531503 + ... + 97552113.

Almost surely, 2^{2010434204688} is an apocalyptic number.

2010434204688 is a gapful number since it is divisible by the number (28) 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 2010434204688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239312004096).

2010434204688 is an abundant number, since it is smaller than the sum of its proper divisors (4468189803504).

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

2010434204688 is a wasteful number, since it uses less digits than its factorization.

2010434204688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20942 (or 20936 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

It can be divided in two parts, 2010434 and 204688, that added together give a palindrome (2215122).

The spelling of 2010434204688 in words is "two trillion, ten billion, four hundred thirty-four million, two hundred four thousand, six hundred eighty-eight".