2509793328 has 90 divisors (see below), whose sum is σ = 7549493364. Its totient is φ = 716389632.

The previous prime is 2509793309. The next prime is 2509793347. The reversal of 2509793328 is 8233979052.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2509793309) and next prime (2509793347).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2429100 + ... + 2430132.

Almost surely, 2^2509793328 is an apocalyptic number.

2509793328 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 2509793328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774746682).

2509793328 is an abundant number, since it is smaller than the sum of its proper divisors (5039700036).

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

2509793328 is an equidigital number, since it uses as much as digits as its factorization.

2509793328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 2509793328 is about 50097.8375581222. The cubic root of 2509793328 is about 1358.9787113431.

Multiplying 2509793328 by its sum of digits (48), we get a square (120470079744 = 347088²).

2509793328 divided by its sum of digits (48) gives a square (52287361 = 7231²).

The spelling of 2509793328 in words is "two billion, five hundred nine million, seven hundred ninety-three thousand, three hundred twenty-eight".