2966400 has 144 divisors (see below), whose sum is σ = 10687560. Its totient is φ = 783360.

The previous prime is 2966389. The next prime is 2966407. The reversal of 2966400 is 46692.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2966407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28749 + ... + 28851.

2^2966400 is an apocalyptic number.

2966400 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 2966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343780).

2966400 is an abundant number, since it is smaller than the sum of its proper divisors (7721160).

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

2966400 is a wasteful number, since it uses less digits than its factorization.

2966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2966400 is about 1722.3240113289. The cubic root of 2966400 is about 143.6844944138.

The spelling of 2966400 in words is "two million, nine hundred sixty-six thousand, four hundred".