2625605440 has 112 divisors (see below), whose sum is σ = 6609283200. Its totient is φ = 990738432.

The previous prime is 2625605431. The next prime is 2625605441. The reversal of 2625605440 is 445065262.

It is a junction number, because it is equal to n+sod(n) for n = 2625605396 and 2625605405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2625605441) 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 15 ways as a sum of consecutive naturals, for example, 1683381 + ... + 1684939.

Almost surely, 2^2625605440 is an apocalyptic number.

2625605440 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 2625605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3304641600).

2625605440 is an abundant number, since it is smaller than the sum of its proper divisors (3983677760).

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

2625605440 is a wasteful number, since it uses less digits than its factorization.

2625605440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 2625605440 is about 51240.6619785498. The cubic root of 2625605440 is about 1379.5681348350.

The spelling of 2625605440 in words is "two billion, six hundred twenty-five million, six hundred five thousand, four hundred forty".