2010928640 has 480 divisors, whose sum is σ = 6347968704. Its totient is φ = 605552640.

The previous prime is 2010928639. The next prime is 2010928649. The reversal of 2010928640 is 468290102.

It is a hoax number, since the sum of its digits (32) 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 (32).

It is a junction number, because it is equal to n+sod(n) for n = 2010928597 and 2010928606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010928649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49047020 + ... + 49047060.

Almost surely, 2^2010928640 is an apocalyptic number.

2010928640 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 2010928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173984352).

2010928640 is an abundant number, since it is smaller than the sum of its proper divisors (4337040064).

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

2010928640 is a wasteful number, since it uses less digits than its factorization.

2010928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 2010928640 is about 44843.3789984653. The cubic root of 2010928640 is about 1262.2117531661.

The spelling of 2010928640 in words is "two billion, ten million, nine hundred twenty-eight thousand, six hundred forty".