2952400 has 90 divisors (see below), whose sum is σ = 7924406. Its totient is φ = 1056000.

The previous prime is 2952379. The next prime is 2952401. The reversal of 2952400 is 42592.

It is a happy number.

2952400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 7744 + 2944656 = 88^2 + 1716^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2952401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48370 + ... + 48430.

2^2952400 is an apocalyptic number.

2952400 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 2952400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962203).

2952400 is an abundant number, since it is smaller than the sum of its proper divisors (4972006).

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

2952400 is a wasteful number, since it uses less digits than its factorization.

2952400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2952400 is about 1718.2549286995. The cubic root of 2952400 is about 143.4580970054.

Adding to 2952400 its reverse (42592), we get a palindrome (2994992).

The spelling of 2952400 in words is "two million, nine hundred fifty-two thousand, four hundred".