2512103424 has 192 divisors, whose sum is σ = 7241270400. Its totient is φ = 772079616.

The previous prime is 2512103393. The next prime is 2512103431. The reversal of 2512103424 is 4243012152.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2512103424² = 12621327225745047552, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2512103394 and 2512103403.

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, 4097742 + ... + 4098354.

It is an arithmetic number, because the mean of its divisors is an integer number (37714950).

Almost surely, 2^2512103424 is an apocalyptic number.

2512103424 is a gapful number since it is divisible by the number (24) 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 2512103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3620635200).

2512103424 is an abundant number, since it is smaller than the sum of its proper divisors (4729166976).

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

2512103424 is a wasteful number, since it uses less digits than its factorization.

2512103424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2512103424 is about 50120.8881006712. Note that the first 3 decimals coincide. The cubic root of 2512103424 is about 1359.3955329925.

Adding to 2512103424 its reverse (4243012152), we get a palindrome (6755115576).

The spelling of 2512103424 in words is "two billion, five hundred twelve million, one hundred three thousand, four hundred twenty-four".