2010256332040 has 256 divisors, whose sum is σ = 5111706009600. Its totient is φ = 705226368000.

The previous prime is 2010256332031. The next prime is 2010256332059. The reversal of 2010256332040 is 402336520102.

It is a super-2 number, since 2×2010256332040² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 499192507 + ... + 499196533.

It is an arithmetic number, because the mean of its divisors is an integer number (19967601600).

Almost surely, 2^{2010256332040} is an apocalyptic number.

2010256332040 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 2010256332040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555853004800).

2010256332040 is an abundant number, since it is smaller than the sum of its proper divisors (3101449677560).

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

2010256332040 is a wasteful number, since it uses less digits than its factorization.

2010256332040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4436 (or 4432 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 2010256332040 in words is "two trillion, ten billion, two hundred fifty-six million, three hundred thirty-two thousand, forty".