2659751640 has 768 divisors, whose sum is σ = 11506360320. Its totient is φ = 537477120.

The previous prime is 2659751639. The next prime is 2659751641. The reversal of 2659751640 is 461579562.

2659751640 is a `hidden beast` number, since 2 + 6 + 5 + 97 + 516 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2659751639) and next prime (2659751641).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2659751641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27420072 + ... + 27420168.

It is an arithmetic number, because the mean of its divisors is an integer number (14982240).

Almost surely, 2^2659751640 is an apocalyptic number.

2659751640 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 2659751640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5753180160).

2659751640 is an abundant number, since it is smaller than the sum of its proper divisors (8846608680).

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

2659751640 is a wasteful number, since it uses less digits than its factorization.

2659751640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 2659751640 is about 51572.7800297793. The cubic root of 2659751640 is about 1385.5228581910.

The spelling of 2659751640 in words is "two billion, six hundred fifty-nine million, seven hundred fifty-one thousand, six hundred forty".