2512348128 has 144 divisors (see below), whose sum is σ = 7809250176. Its totient is φ = 762716160.

The previous prime is 2512348127. The next prime is 2512348129. The reversal of 2512348128 is 8218432152.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2512348127) and next prime (2512348129).

It is a tau number, because it is divible by the number of its divisors (144).

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 = 2512348092 and 2512348101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2512348127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143500 + ... + 160052.

It is an arithmetic number, because the mean of its divisors is an integer number (54230904).

Almost surely, 2^2512348128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2512348128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3904625088).

2512348128 is an abundant number, since it is smaller than the sum of its proper divisors (5296902048).

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

2512348128 is a wasteful number, since it uses less digits than its factorization.

2512348128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16617 (or 16606 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 2512348128 is about 50123.3291791357. The cubic root of 2512348128 is about 1359.4396711333.

The spelling of 2512348128 in words is "two billion, five hundred twelve million, three hundred forty-eight thousand, one hundred twenty-eight".