2968145600 has 378 divisors, whose sum is σ = 9093950316. Its totient is φ = 950476800.

The previous prime is 2968145599. The next prime is 2968145659. The reversal of 2968145600 is 65418692.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 22657535 + ... + 22657665.

Almost surely, 2^2968145600 is an apocalyptic number.

2968145600 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 2968145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546975158).

2968145600 is an abundant number, since it is smaller than the sum of its proper divisors (6125804716).

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

2968145600 is a wasteful number, since it uses less digits than its factorization.

2968145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 2968145600 is about 54480.6901571557. The cubic root of 2968145600 is about 1437.1267295476.

The spelling of 2968145600 in words is "two billion, nine hundred sixty-eight million, one hundred forty-five thousand, six hundred".