2869785072 has 640 divisors, whose sum is σ = 11153571840. Its totient is φ = 689990400.

The previous prime is 2869784959. The next prime is 2869785097. The reversal of 2869785072 is 2705879682.

It is a happy number.

2869785072 is a `hidden beast` number, since 2 + 8 + 69 + 78 + 507 + 2 = 666.

2869785072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92573697 + ... + 92573727.

It is an arithmetic number, because the mean of its divisors is an integer number (17427456).

Almost surely, 2^2869785072 is an apocalyptic number.

2869785072 is a gapful number since it is divisible by the number (22) 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 2869785072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576785920).

2869785072 is an abundant number, since it is smaller than the sum of its proper divisors (8283786768).

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

2869785072 is a wasteful number, since it uses less digits than its factorization.

2869785072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 2869785072 is about 53570.3749473531. The cubic root of 2869785072 is about 1421.0732268776.

The spelling of 2869785072 in words is "two billion, eight hundred sixty-nine million, seven hundred eighty-five thousand, seventy-two".