2630400 has 108 divisors (see below), whose sum is σ = 8744232. Its totient is φ = 696320.

The previous prime is 2630399. The next prime is 2630423. The reversal of 2630400 is 40362.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2630400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19132 + ... + 19268.

2^2630400 is an apocalyptic number.

2630400 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 2630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372116).

2630400 is an abundant number, since it is smaller than the sum of its proper divisors (6113832).

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

2630400 is a wasteful number, since it uses less digits than its factorization.

2630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2630400 is about 1621.8507946171. The cubic root of 2630400 is about 138.0407357163.

Adding to 2630400 its reverse (40362), we get a palindrome (2670762).

The spelling of 2630400 in words is "two million, six hundred thirty thousand, four hundred".