2945600 has 84 divisors (see below), whose sum is σ = 8314944. Its totient is φ = 1006080.

The previous prime is 2945531. The next prime is 2945609. The reversal of 2945600 is 65492.

It is a self number, because there is not a number n which added to its sum of digits gives 2945600.

It is not an unprimeable number, because it can be changed into a prime (2945609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11069 + ... + 11331.

2^2945600 is an apocalyptic number.

2945600 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 2945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157472).

2945600 is an abundant number, since it is smaller than the sum of its proper divisors (5369344).

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

2945600 is a wasteful number, since it uses less digits than its factorization.

2945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 2945600 is about 1716.2750362340. The cubic root of 2945600 is about 143.3478742534.

The spelling of 2945600 in words is "two million, nine hundred forty-five thousand, six hundred".