2959338240 has 720 divisors, whose sum is σ = 11859680448. Its totient is φ = 700710912.

The previous prime is 2959338229. The next prime is 2959338241. The reversal of 2959338240 is 428339592.

It is a happy number.

2959338240 is a `hidden beast` number, since 2 + 9 + 593 + 38 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (2959338241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40538844 + ... + 40538916.

Almost surely, 2^2959338240 is an apocalyptic number.

2959338240 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 2959338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5929840224).

2959338240 is an abundant number, since it is smaller than the sum of its proper divisors (8900342208).

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

2959338240 is a wasteful number, since it uses less digits than its factorization.

2959338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2959338240 is about 54399.7999996324. The cubic root of 2959338240 is about 1435.7038621908.

The spelling of 2959338240 in words is "two billion, nine hundred fifty-nine million, three hundred thirty-eight thousand, two hundred forty".