2626820240 has 80 divisors (see below), whose sum is σ = 6670287360. Its totient is φ = 954101760.

The previous prime is 2626820219. The next prime is 2626820269. The reversal of 2626820240 is 420286262.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2626820197 and 2626820206.

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, 1492481 + ... + 1494239.

It is an arithmetic number, because the mean of its divisors is an integer number (83378592).

Almost surely, 2^2626820240 is an apocalyptic number.

2626820240 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 2626820240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335143680).

2626820240 is an abundant number, since it is smaller than the sum of its proper divisors (4043467120).

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

2626820240 is a wasteful number, since it uses less digits than its factorization.

2626820240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 2626820240 is about 51252.5144749016. The cubic root of 2626820240 is about 1379.7808655759.

The spelling of 2626820240 in words is "two billion, six hundred twenty-six million, eight hundred twenty thousand, two hundred forty".