2084071248 has 160 divisors (see below), whose sum is σ = 6857061120. Its totient is φ = 593671680.

The previous prime is 2084071237. The next prime is 2084071273. The reversal of 2084071248 is 8421704802.

2084071248 is a `hidden beast` number, since 2 + 0 + 8 + 407 + 1 + 248 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1272286 + ... + 1273922.

It is an arithmetic number, because the mean of its divisors is an integer number (42856632).

Almost surely, 2^2084071248 is an apocalyptic number.

2084071248 is a gapful number since it is divisible by the number (28) 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 2084071248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428530560).

2084071248 is an abundant number, since it is smaller than the sum of its proper divisors (4772989872).

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

2084071248 is a wasteful number, since it uses less digits than its factorization.

2084071248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2084071248 is about 45651.6291932720. The cubic root of 2084071248 is about 1277.3331617811. Note that the first 3 decimals are identical.

The spelling of 2084071248 in words is "two billion, eighty-four million, seventy-one thousand, two hundred forty-eight".