2956800 has 240 divisors, whose sum is σ = 12177792. Its totient is φ = 614400.

The previous prime is 2956783. The next prime is 2956813. The reversal of 2956800 is 86592.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268795 + ... + 268805.

2^2956800 is an apocalyptic number.

2956800 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 2956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6088896).

2956800 is an abundant number, since it is smaller than the sum of its proper divisors (9220992).

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

2956800 is a wasteful number, since it uses less digits than its factorization.

2956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2956800 is about 1719.5348208164. The cubic root of 2956800 is about 143.5293274525.

The spelling of 2956800 in words is "two million, nine hundred fifty-six thousand, eight hundred".