2851712640 has 384 divisors, whose sum is σ = 11376443520. Its totient is φ = 644751360.

The previous prime is 2851712629. The next prime is 2851712681. The reversal of 2851712640 is 462171582.

2851712640 is a `hidden beast` number, since 2 + 8 + 5 + 1 + 7 + 1 + 2 + 640 = 666.

2851712640 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 (384).

It is a super-2 number, since 2×2851712640² = 16264529962271539200, 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 = 2851712595 and 2851712604.

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, 4313910 + ... + 4314570.

It is an arithmetic number, because the mean of its divisors is an integer number (29626155).

Almost surely, 2^2851712640 is an apocalyptic number.

2851712640 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 2851712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688221760).

2851712640 is an abundant number, since it is smaller than the sum of its proper divisors (8524730880).

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

2851712640 is a wasteful number, since it uses less digits than its factorization.

2851712640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2851712640 is about 53401.4291943577. The cubic root of 2851712640 is about 1418.0838799141.

The spelling of 2851712640 in words is "two billion, eight hundred fifty-one million, seven hundred twelve thousand, six hundred forty".