2010434033440 has 96 divisors (see below), whose sum is σ = 5428728273024. Its totient is φ = 689221017600.

The previous prime is 2010434033407. The next prime is 2010434033459. The reversal of 2010434033440 is 443304340102.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2010434033399 and 2010434033408.

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 15 ways as a sum of consecutive naturals, for example, 11490615 + ... + 11664265.

It is an arithmetic number, because the mean of its divisors is an integer number (56549252844).

Almost surely, 2^{2010434033440} is an apocalyptic number.

2010434033440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010434033440 is an abundant number, since it is smaller than the sum of its proper divisors (3418294239584).

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

2010434033440 is a wasteful number, since it uses less digits than its factorization.

2010434033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184010 (or 184002 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 2010434033440 its reverse (443304340102), we get a palindrome (2453738373542).

The spelling of 2010434033440 in words is "two trillion, ten billion, four hundred thirty-four million, thirty-three thousand, four hundred forty".