2512347840 has 168 divisors, whose sum is σ = 8961760080. Its totient is φ = 669938688.

The previous prime is 2512347811. The next prime is 2512347863. The reversal of 2512347840 is 487432152.

It is a happy number.

2512347840 is a `hidden beast` number, since 2 + 512 + 34 + 78 + 40 = 666.

2512347840 is digitally balanced in base 2 and base 4, because in such bases 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2512347795 and 2512347804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61606 + ... + 93914.

It is an arithmetic number, because the mean of its divisors is an integer number (53343810).

Almost surely, 2^2512347840 is an apocalyptic number.

2512347840 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 2512347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480880040).

2512347840 is an abundant number, since it is smaller than the sum of its proper divisors (6449412240).

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

2512347840 is an equidigital number, since it uses as much as digits as its factorization.

2512347840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32341 (or 32319 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2512347840 is about 50123.3263062219. The cubic root of 2512347840 is about 1359.4396191874.

Adding to 2512347840 its reverse (487432152), we get a palindrome (2999779992).

The spelling of 2512347840 in words is "two billion, five hundred twelve million, three hundred forty-seven thousand, eight hundred forty".