2605334340 has 192 divisors, whose sum is σ = 8991037440. Its totient is φ = 550333440.

The previous prime is 2605334323. The next prime is 2605334341. The reversal of 2605334340 is 434335062.

2605334340 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2605334298 and 2605334307.

It is not an unprimeable number, because it can be changed into a prime (2605334341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 323199 + ... + 331161.

It is an arithmetic number, because the mean of its divisors is an integer number (46828320).

Almost surely, 2^2605334340 is an apocalyptic number.

2605334340 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 2605334340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4495518720).

2605334340 is an abundant number, since it is smaller than the sum of its proper divisors (6385703100).

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

2605334340 is a wasteful number, since it uses less digits than its factorization.

2605334340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8042 (or 8040 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 2605334340 is about 51042.4758412050. The cubic root of 2605334340 is about 1376.0086201743.

The spelling of 2605334340 in words is "two billion, six hundred five million, three hundred thirty-four thousand, three hundred forty".