2934400 has 96 divisors (see below), whose sum is σ = 8347680. Its totient is φ = 998400.

The previous prime is 2934361. The next prime is 2934401. The reversal of 2934400 is 44392.

It is a super-2 number, since 2×2934400² = 17221406720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2934401) 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, 22335 + ... + 22465.

It is an arithmetic number, because the mean of its divisors is an integer number (86955).

2^2934400 is an apocalyptic number.

2934400 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 2934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173840).

2934400 is an abundant number, since it is smaller than the sum of its proper divisors (5413280).

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

2934400 is a wasteful number, since it uses less digits than its factorization.

2934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 2934400 is about 1713.0090484291. The cubic root of 2934400 is about 143.1659605120.

Adding to 2934400 its reverse (44392), we get a palindrome (2978792).

The spelling of 2934400 in words is "two million, nine hundred thirty-four thousand, four hundred".