2659242342240 has 1152 divisors, whose sum is σ = 10612720742400. Its totient is φ = 620786073600.

The previous prime is 2659242342223. The next prime is 2659242342247. The reversal of 2659242342240 is 422432429562.

It is a happy number.

2659242342240 is a `hidden beast` number, since 2 + 6 + 592 + 4 + 2 + 34 + 2 + 24 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (2659242342247) 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, 6141437064 + ... + 6141437496.

It is an arithmetic number, because the mean of its divisors is an integer number (9212431200).

Almost surely, 2^{2659242342240} is an apocalyptic number.

2659242342240 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 2659242342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5306360371200).

2659242342240 is an abundant number, since it is smaller than the sum of its proper divisors (7953478400160).

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

2659242342240 is a wasteful number, since it uses less digits than its factorization.

2659242342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 2659242342240 in words is "two trillion, six hundred fifty-nine billion, two hundred forty-two million, three hundred forty-two thousand, two hundred forty".