2683679040 has 420 divisors, whose sum is σ = 11110156596. Its totient is φ = 613122048.

The previous prime is 2683679039. The next prime is 2683679057. The reversal of 2683679040 is 409763862.

It can be written as a sum of positive squares in 2 ways, for example, as 293642496 + 2390036544 = 17136^2 + 48888^2 .

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 1269024 + ... + 1271136.

Almost surely, 2^2683679040 is an apocalyptic number.

2683679040 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 2683679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5555078298).

2683679040 is an abundant number, since it is smaller than the sum of its proper divisors (8426477556).

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

2683679040 is a wasteful number, since it uses less digits than its factorization.

2683679040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2683679040 is about 51804.2376645000. The cubic root of 2683679040 is about 1389.6652300091.

The spelling of 2683679040 in words is "two billion, six hundred eighty-three million, six hundred seventy-nine thousand, forty".