2512464240 has 320 divisors, whose sum is σ = 9634383360. Its totient is φ = 532500480.

The previous prime is 2512464239. The next prime is 2512464247. The reversal of 2512464240 is 424642152.

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 = 2512464198 and 2512464207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2512464247) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 650154 + ... + 654006.

It is an arithmetic number, because the mean of its divisors is an integer number (30107448).

Almost surely, 2^2512464240 is an apocalyptic number.

2512464240 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 2512464240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4817191680).

2512464240 is an abundant number, since it is smaller than the sum of its proper divisors (7121919120).

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

2512464240 is a wasteful number, since it uses less digits than its factorization.

2512464240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 2512464240 is about 50124.4874288007. The cubic root of 2512464240 is about 1359.4606136699.

The spelling of 2512464240 in words is "two billion, five hundred twelve million, four hundred sixty-four thousand, two hundred forty".