2451534240 has 96 divisors (see below), whose sum is σ = 7737944256. Its totient is φ = 652421120.

The previous prime is 2451534229. The next prime is 2451534247. The reversal of 2451534240 is 424351542.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 2451534198 and 2451534207.

It is not an unprimeable number, because it can be changed into a prime (2451534247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245179 + ... + 254981.

It is an arithmetic number, because the mean of its divisors is an integer number (80603586).

Almost surely, 2^2451534240 is an apocalyptic number.

2451534240 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 2451534240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868972128).

2451534240 is an abundant number, since it is smaller than the sum of its proper divisors (5286410016).

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

2451534240 is a wasteful number, since it uses less digits than its factorization.

2451534240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10342 (or 10334 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2451534240 is about 49512.9704219006. The cubic root of 2451534240 is about 1348.3810936936.

Adding to 2451534240 its reverse (424351542), we get a palindrome (2875885782).

The spelling of 2451534240 in words is "two billion, four hundred fifty-one million, five hundred thirty-four thousand, two hundred forty".