2959460064 has 336 divisors, whose sum is σ = 10047905280. Its totient is φ = 848206080.

The previous prime is 2959460039. The next prime is 2959460087. The reversal of 2959460064 is 4600649592.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4875249 + ... + 4875855.

It is an arithmetic number, because the mean of its divisors is an integer number (29904480).

Almost surely, 2^2959460064 is an apocalyptic number.

2959460064 is a gapful number since it is divisible by the number (24) 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 2959460064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023952640).

2959460064 is an abundant number, since it is smaller than the sum of its proper divisors (7088445216).

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

2959460064 is a wasteful number, since it uses less digits than its factorization.

2959460064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 642 counting only the distinct ones).

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

The square root of 2959460064 is about 54400.9196981080. The cubic root of 2959460064 is about 1435.7235626298.

The spelling of 2959460064 in words is "two billion, nine hundred fifty-nine million, four hundred sixty thousand, sixty-four".