2906400 has 144 divisors (see below), whose sum is σ = 10874304. Its totient is φ = 660480.

The previous prime is 2906381. The next prime is 2906401. The reversal of 2906400 is 46092.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2906401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16714 + ... + 16886.

It is an arithmetic number, because the mean of its divisors is an integer number (75516).

2^2906400 is an apocalyptic number.

2906400 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 2906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5437152).

2906400 is an abundant number, since it is smaller than the sum of its proper divisors (7967904).

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

2906400 is a wasteful number, since it uses less digits than its factorization.

2906400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2906400 is about 1704.8167056901. The cubic root of 2906400 is about 142.7091419612.

The spelling of 2906400 in words is "two million, nine hundred six thousand, four hundred".