2512343040 has 208 divisors, whose sum is σ = 8137004928. Its totient is φ = 661782528.

The previous prime is 2512343027. The next prime is 2512343059. The reversal of 2512343040 is 403432152.

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 2512343040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6328122 + ... + 6328518.

It is an arithmetic number, because the mean of its divisors is an integer number (39120216).

Almost surely, 2^2512343040 is an apocalyptic number.

2512343040 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 2512343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068502464).

2512343040 is an abundant number, since it is smaller than the sum of its proper divisors (5624661888).

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

2512343040 is a wasteful number, since it uses less digits than its factorization.

2512343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2512343040 is about 50123.2784243010. The cubic root of 2512343040 is about 1359.4387534217.

Adding to 2512343040 its reverse (403432152), we get a palindrome (2915775192).

The spelling of 2512343040 in words is "two billion, five hundred twelve million, three hundred forty-three thousand, forty".