2860028640 has 288 divisors, whose sum is σ = 11227507200. Its totient is φ = 649423872.

The previous prime is 2860028629. The next prime is 2860028653. The reversal of 2860028640 is 468200682.

2860028640 is a `hidden beast` number, since 2 + 8 + 6 + 0 + 0 + 2 + 8 + 640 = 666.

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

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 = 2860028595 and 2860028604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1682511 + ... + 1684209.

It is an arithmetic number, because the mean of its divisors is an integer number (38984400).

Almost surely, 2^2860028640 is an apocalyptic number.

2860028640 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 2860028640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613753600).

2860028640 is an abundant number, since it is smaller than the sum of its proper divisors (8367478560).

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

2860028640 is a wasteful number, since it uses less digits than its factorization.

2860028640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2860028640 is about 53479.2355966313. The cubic root of 2860028640 is about 1419.4609869863.

The spelling of 2860028640 in words is "two billion, eight hundred sixty million, twenty-eight thousand, six hundred forty".