2519328 has 96 divisors (see below), whose sum is σ = 7934976. Its totient is φ = 684288.

The previous prime is 2519273. The next prime is 2519329. The reversal of 2519328 is 8239152.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2519295 and 2519304.

It is not an unprimeable number, because it can be changed into a prime (2519329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15375 + ... + 15537.

It is an arithmetic number, because the mean of its divisors is an integer number (82656).

2^2519328 is an apocalyptic number.

2519328 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 2519328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967488).

2519328 is an abundant number, since it is smaller than the sum of its proper divisors (5415648).

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

2519328 is a wasteful number, since it uses less digits than its factorization.

2519328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 2519328 is about 1587.2391124213. The cubic root of 2519328 is about 136.0697450799.

The spelling of 2519328 in words is "two million, five hundred nineteen thousand, three hundred twenty-eight".