2942400 has 84 divisors (see below), whose sum is σ = 9669272. Its totient is φ = 783360.

The previous prime is 2942399. The next prime is 2942431. The reversal of 2942400 is 42492.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4494 + ... + 5106.

2^2942400 is an apocalyptic number.

2942400 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 2942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834636).

2942400 is an abundant number, since it is smaller than the sum of its proper divisors (6726872).

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

2942400 is a wasteful number, since it uses less digits than its factorization.

2942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2942400 is about 1715.3425313913. The cubic root of 2942400 is about 143.2959460206.

Adding to 2942400 its reverse (42492), we get a palindrome (2984892).

It can be divided in two parts, 294 and 2400, that multiplied together give a square (705600 = 840²).

The spelling of 2942400 in words is "two million, nine hundred forty-two thousand, four hundred".