2946400 has 72 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 1128960.

The previous prime is 2946373. The next prime is 2946407. The reversal of 2946400 is 46492.

2946400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2946407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23137 + ... + 23263.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

2^2946400 is an apocalyptic number.

2946400 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 2946400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2946400 is an abundant number, since it is smaller than the sum of its proper divisors (4553120).

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

2946400 is a wasteful number, since it uses less digits than its factorization.

2946400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 2946400 is about 1716.5080832900. The cubic root of 2946400 is about 143.3608504347.

It can be divided in two parts, 29 and 46400, that multiplied together give a square (1345600 = 1160²).

The spelling of 2946400 in words is "two million, nine hundred forty-six thousand, four hundred".