2643428160 has 168 divisors, whose sum is σ = 9195343560. Its totient is φ = 696926208.

The previous prime is 2643428131. The next prime is 2643428173. The reversal of 2643428160 is 618243462.

2643428160 is a `hidden beast` number, since 2 + 643 + 4 + 2 + 8 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32626944 + 2610801216 = 5712^2 + 51096^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251164 + ... + 261476.

Almost surely, 2^2643428160 is an apocalyptic number.

2643428160 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 2643428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597671780).

2643428160 is an abundant number, since it is smaller than the sum of its proper divisors (6551915400).

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

2643428160 is a wasteful number, since it uses less digits than its factorization.

2643428160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10425 (or 10412 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2643428160 is about 51414.2797284957. The cubic root of 2643428160 is about 1382.6826204895.

The spelling of 2643428160 in words is "two billion, six hundred forty-three million, four hundred twenty-eight thousand, one hundred sixty".