2892856512 has 448 divisors, whose sum is σ = 10013696000. Its totient is φ = 731566080.

The previous prime is 2892856501. The next prime is 2892856513. The reversal of 2892856512 is 2156582982.

2892856512 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 (448).

It is a super-2 number, since 2×2892856512² = 16737237598041612288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2892856513) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26539914 + ... + 26540022.

It is an arithmetic number, because the mean of its divisors is an integer number (22352000).

Almost surely, 2^2892856512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2892856512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5006848000).

2892856512 is an abundant number, since it is smaller than the sum of its proper divisors (7120839488).

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

2892856512 is a wasteful number, since it uses less digits than its factorization.

2892856512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 165 counting only the distinct ones).

The product of its digits is 691200, while the sum is 48.

The square root of 2892856512 is about 53785.2815554590. The cubic root of 2892856512 is about 1424.8712738137.

The spelling of 2892856512 in words is "two billion, eight hundred ninety-two million, eight hundred fifty-six thousand, five hundred twelve".