2010845952 has 288 divisors, whose sum is σ = 6394449600. Its totient is φ = 621084672.

The previous prime is 2010845929. The next prime is 2010845953. The reversal of 2010845952 is 2595480102.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010845953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12807858 + ... + 12808014.

It is an arithmetic number, because the mean of its divisors is an integer number (22202950).

Almost surely, 2^2010845952 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 2010845952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197224800).

2010845952 is an abundant number, since it is smaller than the sum of its proper divisors (4383603648).

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

2010845952 is a wasteful number, since it uses less digits than its factorization.

2010845952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2010845952 is about 44842.4570245655. The cubic root of 2010845952 is about 1262.1944525031.

The spelling of 2010845952 in words is "two billion, ten million, eight hundred forty-five thousand, nine hundred fifty-two".