2659109040 has 320 divisors, whose sum is σ = 10619320320. Its totient is φ = 598993920.

The previous prime is 2659109029. The next prime is 2659109053. The reversal of 2659109040 is 409019562.

2659109040 is a `hidden beast` number, since 26 + 591 + 0 + 9 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2659108986 and 2659109004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1072282 + ... + 1074758.

It is an arithmetic number, because the mean of its divisors is an integer number (33185376).

Almost surely, 2^2659109040 is an apocalyptic number.

2659109040 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 2659109040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5309660160).

2659109040 is an abundant number, since it is smaller than the sum of its proper divisors (7960211280).

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

2659109040 is a wasteful number, since it uses less digits than its factorization.

2659109040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2659109040 is about 51566.5496227933. The cubic root of 2659109040 is about 1385.4112677343.

The spelling of 2659109040 in words is "two billion, six hundred fifty-nine million, one hundred nine thousand, forty".