2010825320 has 128 divisors (see below), whose sum is σ = 5349576960. Its totient is φ = 665917440.

The previous prime is 2010825307. The next prime is 2010825329. The reversal of 2010825320 is 235280102.

It is not an unprimeable number, because it can be changed into a prime (2010825329) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1227542 + ... + 1229178.

It is an arithmetic number, because the mean of its divisors is an integer number (41793570).

Almost surely, 2^2010825320 is an apocalyptic number.

2010825320 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 2010825320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674788480).

2010825320 is an abundant number, since it is smaller than the sum of its proper divisors (3338751640).

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

2010825320 is a wasteful number, since it uses less digits than its factorization.

2010825320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 2010825320 is about 44842.2269741368. The cubic root of 2010825320 is about 1262.1901356326.

The spelling of 2010825320 in words is "two billion, ten million, eight hundred twenty-five thousand, three hundred twenty".