2451630 has 32 divisors (see below), whose sum is σ = 5971968. Its totient is φ = 644000.

The previous prime is 2451619. The next prime is 2451637. The reversal of 2451630 is 361542.

2451630 = 15² + 16² + ... + 194².

It is a happy number.

2451630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 2451597 and 2451606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2451637) 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 15 ways as a sum of consecutive naturals, for example, 1555 + ... + 2705.

It is an arithmetic number, because the mean of its divisors is an integer number (186624).

2^2451630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2451630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985984).

2451630 is an abundant number, since it is smaller than the sum of its proper divisors (3520338).

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

2451630 is a wasteful number, since it uses less digits than its factorization.

2451630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2451630 is about 1565.7681820755. The cubic root of 2451630 is about 134.8398649950.

It can be divided in two parts, 2451 and 630, that added together give a triangular number (3081 = T₇₈).

The spelling of 2451630 in words is "two million, four hundred fifty-one thousand, six hundred thirty".