2957959680 has 480 divisors, whose sum is σ = 10675406016. Its totient is φ = 697761792.

The previous prime is 2957959679. The next prime is 2957959717. The reversal of 2957959680 is 869597592.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55810534 + ... + 55810586.

Almost surely, 2^2957959680 is an apocalyptic number.

2957959680 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 2957959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5337703008).

2957959680 is an abundant number, since it is smaller than the sum of its proper divisors (7717446336).

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

2957959680 is a wasteful number, since it uses less digits than its factorization.

2957959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 60.

The square root of 2957959680 is about 54387.1278888672. The cubic root of 2957959680 is about 1435.4808944007.

The spelling of 2957959680 in words is "two billion, nine hundred fifty-seven million, nine hundred fifty-nine thousand, six hundred eighty".