2010411312 has 320 divisors, whose sum is σ = 6749568000. Its totient is φ = 501387264.

The previous prime is 2010411289. The next prime is 2010411367. The reversal of 2010411312 is 2131140102.

It is a super-2 number, since 2×2010411312² = 8083507286835122688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2010411291 and 2010411300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7473514 + ... + 7473782.

It is an arithmetic number, because the mean of its divisors is an integer number (21092400).

Almost surely, 2^2010411312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010411312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374784000).

2010411312 is an abundant number, since it is smaller than the sum of its proper divisors (4739156688).

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

2010411312 is a wasteful number, since it uses less digits than its factorization.

2010411312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2010411312 is about 44837.6104626462. The cubic root of 2010411312 is about 1262.1035057506.

Adding to 2010411312 its reverse (2131140102), we get a palindrome (4141551414).

The spelling of 2010411312 in words is "two billion, ten million, four hundred eleven thousand, three hundred twelve".