2780305825 has 48 divisors (see below), whose sum is σ = 3871752192. Its totient is φ = 1963080000.

The previous prime is 2780305807. The next prime is 2780305861. The reversal of 2780305825 is 5285030872.

It is not a de Polignac number, because 2780305825 - 2²¹ = 2778208673 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2257960 + ... + 2259190.

It is an arithmetic number, because the mean of its divisors is an integer number (80661504).

Almost surely, 2^2780305825 is an apocalyptic number.

2780305825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2780305825 is a deficient number, since it is larger than the sum of its proper divisors (1091446367).

2780305825 is a wasteful number, since it uses less digits than its factorization.

2780305825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 2780305825 is about 52728.6053769678. The cubic root of 2780305825 is about 1406.1474270534.

The spelling of 2780305825 in words is "two billion, seven hundred eighty million, three hundred five thousand, eight hundred twenty-five".