2609294688 has 576 divisors, whose sum is σ = 10424816640. Its totient is φ = 624153600.

The previous prime is 2609294671. The next prime is 2609294717. The reversal of 2609294688 is 8864929062.

It is a happy number.

2609294688 is a `hidden beast` number, since 2 + 609 + 29 + 4 + 6 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6053833 + ... + 6054263.

It is an arithmetic number, because the mean of its divisors is an integer number (18098640).

Almost surely, 2^2609294688 is an apocalyptic number.

2609294688 is a gapful number since it is divisible by the number (28) 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 2609294688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212408320).

2609294688 is an abundant number, since it is smaller than the sum of its proper divisors (7815521952).

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

2609294688 is a wasteful number, since it uses less digits than its factorization.

2609294688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 2609294688 is about 51081.2557402419. The cubic root of 2609294688 is about 1376.7054871111.

The spelling of 2609294688 in words is "two billion, six hundred nine million, two hundred ninety-four thousand, six hundred eighty-eight".