2968131600 has 600 divisors, whose sum is σ = 12725792640. Its totient is φ = 647792640.

The previous prime is 2968131587. The next prime is 2968131613. The reversal of 2968131600 is 61318692.

It is an interprime number because it is at equal distance from previous prime (2968131587) and next prime (2968131613).

It is a tau number, because it is divible by the number of its divisors (600).

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

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 119 ways as a sum of consecutive naturals, for example, 5216116 + ... + 5216684.

Almost surely, 2^2968131600 is an apocalyptic number.

2968131600 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 2968131600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6362896320).

2968131600 is an abundant number, since it is smaller than the sum of its proper divisors (9757661040).

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

2968131600 is a wasteful number, since it uses less digits than its factorization.

2968131600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2968131600 is about 54480.5616711135. The cubic root of 2968131600 is about 1437.1244700217.

The spelling of 2968131600 in words is "two billion, nine hundred sixty-eight million, one hundred thirty-one thousand, six hundred".