2984255820 has 432 divisors, whose sum is σ = 12015083808. Its totient is φ = 592220160.

The previous prime is 2984255809. The next prime is 2984255861. The reversal of 2984255820 is 285524892.

2984255820 is a `hidden beast` number, since 2 + 98 + 4 + 2 + 558 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1948455 + ... + 1949985.

It is an arithmetic number, because the mean of its divisors is an integer number (27812694).

Almost surely, 2^2984255820 is an apocalyptic number.

2984255820 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 2984255820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6007541904).

2984255820 is an abundant number, since it is smaller than the sum of its proper divisors (9030827988).

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

2984255820 is a wasteful number, since it uses less digits than its factorization.

2984255820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 2984255820 is about 54628.3426437230. The cubic root of 2984255820 is about 1439.7221396750.

The spelling of 2984255820 in words is "two billion, nine hundred eighty-four million, two hundred fifty-five thousand, eight hundred twenty".