2067863040 has 160 divisors (see below), whose sum is σ = 7345467360. Its totient is φ = 551411712.

The previous prime is 2067863033. The next prime is 2067863069. The reversal of 2067863040 is 403687602.

It is a tau number, because it is divible by the number of its divisors (160).

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 = 2067862986 and 2067863004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54162 + ... + 84078.

It is an arithmetic number, because the mean of its divisors is an integer number (45909171).

Almost surely, 2^2067863040 is an apocalyptic number.

2067863040 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 2067863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672733680).

2067863040 is an abundant number, since it is smaller than the sum of its proper divisors (5277604320).

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

2067863040 is an equidigital number, since it uses as much as digits as its factorization.

2067863040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29949 (or 29927 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2067863040 is about 45473.7621051964. The cubic root of 2067863040 is about 1274.0131879910.

The spelling of 2067863040 in words is "two billion, sixty-seven million, eight hundred sixty-three thousand, forty".