2850733440 has 320 divisors, whose sum is σ = 10284341760. Its totient is φ = 752467968.

The previous prime is 2850733421. The next prime is 2850733447. The reversal of 2850733440 is 443370582.

It is a happy number.

2850733440 is a `hidden beast` number, since 285 + 0 + 7 + 334 + 40 = 666.

2850733440 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 (320).

It is a super-2 number, since 2×2850733440² = 16253362291868467200, which contains 22 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 = 2850733395 and 2850733404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2850733447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6583464 + ... + 6583896.

It is an arithmetic number, because the mean of its divisors is an integer number (32138568).

Almost surely, 2^2850733440 is an apocalyptic number.

2850733440 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 2850733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142170880).

2850733440 is an abundant number, since it is smaller than the sum of its proper divisors (7433608320).

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

2850733440 is a wasteful number, since it uses less digits than its factorization.

2850733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2850733440 is about 53392.2601132411. The cubic root of 2850733440 is about 1417.9215509472.

The spelling of 2850733440 in words is "two billion, eight hundred fifty million, seven hundred thirty-three thousand, four hundred forty".