2968196400 has 600 divisors, whose sum is σ = 11916476880. Its totient is φ = 705438720.

The previous prime is 2968196317. The next prime is 2968196443. The reversal of 2968196400 is 46918692.

It is a happy number.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 102351586 + ... + 102351614.

Almost surely, 2^2968196400 is an apocalyptic number.

2968196400 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 2968196400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5958238440).

2968196400 is an abundant number, since it is smaller than the sum of its proper divisors (8948280480).

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

2968196400 is an equidigital number, since it uses as much as digits as its factorization.

2968196400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2968196400 is about 54481.1563753928. The cubic root of 2968196400 is about 1437.1349283392.

The spelling of 2968196400 in words is "two billion, nine hundred sixty-eight million, one hundred ninety-six thousand, four hundred".