2861006720 has 256 divisors, whose sum is σ = 8233505280. Its totient is φ = 936714240.

The previous prime is 2861006711. The next prime is 2861006779. The reversal of 2861006720 is 276001682.

2861006720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3934997 + ... + 3935723.

It is an arithmetic number, because the mean of its divisors is an integer number (32162130).

Almost surely, 2^2861006720 is an apocalyptic number.

2861006720 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 2861006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4116752640).

2861006720 is an abundant number, since it is smaller than the sum of its proper divisors (5372498560).

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

2861006720 is a wasteful number, since it uses less digits than its factorization.

2861006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 2861006720 is about 53488.3792986851. The cubic root of 2861006720 is about 1419.6227788590.

The spelling of 2861006720 in words is "two billion, eight hundred sixty-one million, six thousand, seven hundred twenty".