2657146820 has 12 divisors (see below), whose sum is σ = 5580008364. Its totient is φ = 1062858720.

The previous prime is 2657146799. The next prime is 2657146841. The reversal of 2657146820 is 286417562.

2657146820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2657146799) and next prime (2657146841).

It can be written as a sum of positive squares in 2 ways, for example, as 329277316 + 2327869504 = 18146^2 + 48248^2 .

It is a super-2 number, since 2×2657146820² = 14120858446072224800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66428651 + ... + 66428690.

It is an arithmetic number, because the mean of its divisors is an integer number (465000697).

Almost surely, 2^2657146820 is an apocalyptic number.

2657146820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2657146820 is an abundant number, since it is smaller than the sum of its proper divisors (2922861544).

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

2657146820 is a wasteful number, since it uses less digits than its factorization.

2657146820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132857350 (or 132857348 counting only the distinct ones).

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

The square root of 2657146820 is about 51547.5200179407. The cubic root of 2657146820 is about 1385.0704078688.

The spelling of 2657146820 in words is "two billion, six hundred fifty-seven million, one hundred forty-six thousand, eight hundred twenty".