2551282020 has 432 divisors, whose sum is σ = 9542332800. Its totient is φ = 551214720.

The previous prime is 2551282007. The next prime is 2551282039. The reversal of 2551282020 is 202821552.

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, 59332119 + ... + 59332161.

Almost surely, 2^2551282020 is an apocalyptic number.

2551282020 is a gapful number since it is divisible by the number (20) 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 2551282020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4771166400).

2551282020 is an abundant number, since it is smaller than the sum of its proper divisors (6991050780).

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

2551282020 is a wasteful number, since it uses less digits than its factorization.

2551282020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2551282020 is about 50510.2169862692. The cubic root of 2551282020 is about 1366.4261229105.

The spelling of 2551282020 in words is "two billion, five hundred fifty-one million, two hundred eighty-two thousand, twenty".