2451378321 has 36 divisors (see below), whose sum is σ = 4136834052. Its totient is φ = 1394717184.

The previous prime is 2451378299. The next prime is 2451378337. The reversal of 2451378321 is 1238731542.

It can be written as a sum of positive squares in 2 ways, for example, as 285779025 + 2165599296 = 16905^2 + 46536^2 .

It is not a de Polignac number, because 2451378321 - 2⁹ = 2451377809 is a prime.

It is a super-4 number, since 4×2451378321⁴ (a number of 39 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (2451378521) 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 35 ways as a sum of consecutive naturals, for example, 90825 + ... + 114681.

It is an arithmetic number, because the mean of its divisors is an integer number (114912057).

Almost surely, 2^2451378321 is an apocalyptic number.

2451378321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2451378321 is a deficient number, since it is larger than the sum of its proper divisors (1685455731).

2451378321 is a wasteful number, since it uses less digits than its factorization.

2451378321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24110 (or 24100 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2451378321 is about 49511.3958700419. The cubic root of 2451378321 is about 1348.3525071476.

The spelling of 2451378321 in words is "two billion, four hundred fifty-one million, three hundred seventy-eight thousand, three hundred twenty-one".