2968628400 has 960 divisors, whose sum is σ = 12620620800. Its totient is φ = 656916480.

The previous prime is 2968628371. The next prime is 2968628473. The reversal of 2968628400 is 48268692.

2968628400 is a `hidden beast` number, since 296 + 86 + 284 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 80233182 + ... + 80233218.

It is an arithmetic number, because the mean of its divisors is an integer number (13146480).

Almost surely, 2^2968628400 is an apocalyptic number.

2968628400 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 2968628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6310310400).

2968628400 is an abundant number, since it is smaller than the sum of its proper divisors (9651992400).

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

2968628400 is a wasteful number, since it uses less digits than its factorization.

2968628400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2968628400 is about 54485.1209047020. The cubic root of 2968628400 is about 1437.2046465663.

The spelling of 2968628400 in words is "two billion, nine hundred sixty-eight million, six hundred twenty-eight thousand, four hundred".