2512355328 has 192 divisors, whose sum is σ = 8301449520. Its totient is φ = 717225984.

The previous prime is 2512355327. The next prime is 2512355411. The reversal of 2512355328 is 8235532152.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 2512355292 and 2512355301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2512355323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2063776 + ... + 2064992.

Almost surely, 2^2512355328 is an apocalyptic number.

2512355328 is a gapful number since it is divisible by the number (28) 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 2512355328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150724760).

2512355328 is an abundant number, since it is smaller than the sum of its proper divisors (5789094192).

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

2512355328 is an equidigital number, since it uses as much as digits as its factorization.

2512355328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1229 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 2512355328 is about 50123.4010019272. The cubic root of 2512355328 is about 1359.4409697798.

The spelling of 2512355328 in words is "two billion, five hundred twelve million, three hundred fifty-five thousand, three hundred twenty-eight".