2866303440 has 960 divisors, whose sum is σ = 13376143872. Its totient is φ = 530841600.

The previous prime is 2866303439. The next prime is 2866303471. The reversal of 2866303440 is 443036682.

It is a happy number.

2866303440 is a `hidden beast` number, since 286 + 6 + 30 + 344 + 0 = 666.

It is a super-4 number, since 4×2866303440⁴ (a number of 39 digits) contains 4444 as substring.

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 = 2866303395 and 2866303404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29549472 + ... + 29549568.

Almost surely, 2^2866303440 is an apocalyptic number.

2866303440 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 2866303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6688071936).

2866303440 is an abundant number, since it is smaller than the sum of its proper divisors (10509840432).

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

2866303440 is a wasteful number, since it uses less digits than its factorization.

2866303440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2866303440 is about 53537.8692142300. The cubic root of 2866303440 is about 1420.4983108609.

The spelling of 2866303440 in words is "two billion, eight hundred sixty-six million, three hundred three thousand, four hundred forty".