2547166820 has 48 divisors (see below), whose sum is σ = 5977673856. Its totient is φ = 903648000.

The previous prime is 2547166793. The next prime is 2547166841. The reversal of 2547166820 is 286617452.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132176 + ... + 150215.

It is an arithmetic number, because the mean of its divisors is an integer number (124534872).

Almost surely, 2^2547166820 is an apocalyptic number.

2547166820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2547166820 is an abundant number, since it is smaller than the sum of its proper divisors (3430507036).

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

2547166820 is a wasteful number, since it uses less digits than its factorization.

2547166820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282452 (or 282450 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 2547166820 is about 50469.4642333362. The cubic root of 2547166820 is about 1365.6910489623.

The spelling of 2547166820 in words is "two billion, five hundred forty-seven million, one hundred sixty-six thousand, eight hundred twenty".