2866933440 has 672 divisors, whose sum is σ = 12248570880. Its totient is φ = 624070656.

The previous prime is 2866933439. The next prime is 2866933457. The reversal of 2866933440 is 443396682.

2866933440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12519246 + ... + 12519474.

It is an arithmetic number, because the mean of its divisors is an integer number (18227040).

Almost surely, 2^2866933440 is an apocalyptic number.

2866933440 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 2866933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124285440).

2866933440 is an abundant number, since it is smaller than the sum of its proper divisors (9381637440).

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

2866933440 is a wasteful number, since it uses less digits than its factorization.

2866933440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 2866933440 is about 53543.7525767479. The cubic root of 2866933440 is about 1420.6023761837.

The spelling of 2866933440 in words is "two billion, eight hundred sixty-six million, nine hundred thirty-three thousand, four hundred forty".