2379509825 has 144 divisors (see below), whose sum is σ = 3954121920. Its totient is φ = 1403136000.

The previous prime is 2379509789. The next prime is 2379509857. The reversal of 2379509825 is 5289059732.

It is not a de Polignac number, because 2379509825 - 2⁸ = 2379509569 is a prime.

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 143 ways as a sum of consecutive naturals, for example, 32595989 + ... + 32596061.

It is an arithmetic number, because the mean of its divisors is an integer number (27459180).

Almost surely, 2^2379509825 is an apocalyptic number.

2379509825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2379509825 is a deficient number, since it is larger than the sum of its proper divisors (1574612095).

2379509825 is a wasteful number, since it uses less digits than its factorization.

2379509825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 50.

The square root of 2379509825 is about 48780.2196079517. The cubic root of 2379509825 is about 1335.0447833406.

The spelling of 2379509825 in words is "two billion, three hundred seventy-nine million, five hundred nine thousand, eight hundred twenty-five".