2643385032 has 192 divisors, whose sum is σ = 8137584000. Its totient is φ = 770660352.

The previous prime is 2643385027. The next prime is 2643385033. The reversal of 2643385032 is 2305833462.

It is a happy number.

2643385032 is a `hidden beast` number, since 2 + 643 + 3 + 8 + 5 + 0 + 3 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2643385033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 911008 + ... + 913904.

It is an arithmetic number, because the mean of its divisors is an integer number (42383250).

Almost surely, 2^2643385032 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 2643385032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068792000).

2643385032 is an abundant number, since it is smaller than the sum of its proper divisors (5494198968).

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

2643385032 is a wasteful number, since it uses less digits than its factorization.

2643385032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2643385032 is about 51413.8603102315. The cubic root of 2643385032 is about 1382.6751008777.

The spelling of 2643385032 in words is "two billion, six hundred forty-three million, three hundred eighty-five thousand, thirty-two".