2451944 has 48 divisors (see below), whose sum is σ = 5386500. Its totient is φ = 1041920.

The previous prime is 2451941. The next prime is 2451947. The reversal of 2451944 is 4491542.

2451944 = 78² + 79² + ... + 198².

2451944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2451941) and next prime (2451947).

It can be written as a sum of positive squares in 2 ways, for example, as 2439844 + 12100 = 1562^2 + 110^2 .

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2451941) 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 11 ways as a sum of consecutive naturals, for example, 16382 + ... + 16530.

2^2451944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2451944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693250).

2451944 is an abundant number, since it is smaller than the sum of its proper divisors (2934556).

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

2451944 is a wasteful number, since it uses less digits than its factorization.

2451944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 179 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 2451944 is about 1565.8684491361. The cubic root of 2451944 is about 134.8456214251.

The spelling of 2451944 in words is "two million, four hundred fifty-one thousand, nine hundred forty-four".