2451434340 has 96 divisors (see below), whose sum is σ = 7650357120. Its totient is φ = 582875136.

The previous prime is 2451434333. The next prime is 2451434341. The reversal of 2451434340 is 434341542.

2451434340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2451434298 and 2451434307.

It is not an unprimeable number, because it can be changed into a prime (2451434341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43867 + ... + 82626.

It is an arithmetic number, because the mean of its divisors is an integer number (79691220).

Almost surely, 2^2451434340 is an apocalyptic number.

2451434340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2451434340 is an abundant number, since it is smaller than the sum of its proper divisors (5198922780).

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

2451434340 is a wasteful number, since it uses less digits than its factorization.

2451434340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126541 (or 126539 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 2451434340 is about 49511.9615850554. The cubic root of 2451434340 is about 1348.3627779386.

Adding to 2451434340 its reverse (434341542), we get a palindrome (2885775882).

The spelling of 2451434340 in words is "two billion, four hundred fifty-one million, four hundred thirty-four thousand, three hundred forty".