2920400 has 90 divisors (see below), whose sum is σ = 8216550. Its totient is φ = 994560.

The previous prime is 2920399. The next prime is 2920403. The reversal of 2920400 is 40292.

2920400 is digitally balanced in base 2, 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 3136 + 2917264 = 56^2 + 1708^2 .

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2920403) 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 17 ways as a sum of consecutive naturals, for example, 19526 + ... + 19674.

It is an arithmetic number, because the mean of its divisors is an integer number (91295).

2^2920400 is an apocalyptic number.

2920400 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 2920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108275).

2920400 is an abundant number, since it is smaller than the sum of its proper divisors (5296150).

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

2920400 is a wasteful number, since it uses less digits than its factorization.

2920400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2920400 is about 1708.9177862027. The cubic root of 2920400 is about 142.9379162258.

Adding to 2920400 its reverse (40292), we get a palindrome (2960692).

The spelling of 2920400 in words is "two million, nine hundred twenty thousand, four hundred".