2531300640 has 288 divisors, whose sum is σ = 8986578048. Its totient is φ = 598118400.

The previous prime is 2531300633. The next prime is 2531300677. The reversal of 2531300640 is 460031352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2531300640.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2380749 + ... + 2381811.

It is an arithmetic number, because the mean of its divisors is an integer number (31203396).

Almost surely, 2^2531300640 is an apocalyptic number.

2531300640 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 2531300640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493289024).

2531300640 is an abundant number, since it is smaller than the sum of its proper divisors (6455277408).

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

2531300640 is a wasteful number, since it uses less digits than its factorization.

2531300640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2531300640 is about 50312.0327555944. The cubic root of 2531300640 is about 1362.8495328585.

Adding to 2531300640 its reverse (460031352), we get a palindrome (2991331992).

The spelling of 2531300640 in words is "two billion, five hundred thirty-one million, three hundred thousand, six hundred forty".