2605733340 has 384 divisors, whose sum is σ = 9179412480. Its totient is φ = 539136000.

The previous prime is 2605733323. The next prime is 2605733341. The reversal of 2605733340 is 433375062.

2605733340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2605733341) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25799290 + ... + 25799390.

It is an arithmetic number, because the mean of its divisors is an integer number (23904720).

Almost surely, 2^2605733340 is an apocalyptic number.

2605733340 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 2605733340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4589706240).

2605733340 is an abundant number, since it is smaller than the sum of its proper divisors (6573679140).

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

2605733340 is a wasteful number, since it uses less digits than its factorization.

2605733340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 33.

The square root of 2605733340 is about 51046.3842010382. The cubic root of 2605733340 is about 1376.0788606045.

The spelling of 2605733340 in words is "two billion, six hundred five million, seven hundred thirty-three thousand, three hundred forty".