2861036640 has 960 divisors, whose sum is σ = 13067163648. Its totient is φ = 572313600.

The previous prime is 2861036639. The next prime is 2861036657. The reversal of 2861036640 is 466301682.

2861036640 is a `hidden beast` number, since 2 + 8 + 6 + 1 + 0 + 3 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2861036595 and 2861036604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 46902210 + ... + 46902270.

Almost surely, 2^2861036640 is an apocalyptic number.

2861036640 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 2861036640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6533581824).

2861036640 is an abundant number, since it is smaller than the sum of its proper divisors (10206127008).

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

2861036640 is a wasteful number, since it uses less digits than its factorization.

2861036640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2861036640 is about 53488.6589848727. The cubic root of 2861036640 is about 1419.6277275792.

The spelling of 2861036640 in words is "two billion, eight hundred sixty-one million, thirty-six thousand, six hundred forty".