2605742688 has 48 divisors (see below), whose sum is σ = 7200083520. Its totient is φ = 822865536.

The previous prime is 2605742683. The next prime is 2605742717. The reversal of 2605742688 is 8862475062.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2605742683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 712470 + ... + 716117.

It is an arithmetic number, because the mean of its divisors is an integer number (150001740).

Almost surely, 2^2605742688 is an apocalyptic number.

It is an amenable number.

2605742688 is an abundant number, since it is smaller than the sum of its proper divisors (4594340832).

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

2605742688 is a wasteful number, since it uses less digits than its factorization.

2605742688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428619 (or 1428611 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 2605742688 is about 51046.4757647382. The cubic root of 2605742688 is about 1376.0805061514.

The spelling of 2605742688 in words is "two billion, six hundred five million, seven hundred forty-two thousand, six hundred eighty-eight".