2856944640 has 352 divisors, whose sum is σ = 10260284544. Its totient is φ = 672399360.

The previous prime is 2856944621. The next prime is 2856944641. The reversal of 2856944640 is 464496582.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2856944640.

It is not an unprimeable number, because it can be changed into a prime (2856944641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6251292 + ... + 6251748.

Almost surely, 2^2856944640 is an apocalyptic number.

2856944640 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 2856944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5130142272).

2856944640 is an abundant number, since it is smaller than the sum of its proper divisors (7403339904).

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

2856944640 is a wasteful number, since it uses less digits than its factorization.

2856944640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The square root of 2856944640 is about 53450.3941987335. The cubic root of 2856944640 is about 1418.9505967471.

The spelling of 2856944640 in words is "two billion, eight hundred fifty-six million, nine hundred forty-four thousand, six hundred forty".