2847972240 has 240 divisors, whose sum is σ = 10037214720. Its totient is φ = 722304000.

The previous prime is 2847972181. The next prime is 2847972317. The reversal of 2847972240 is 422797482.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2847972240² = 16221891759621235200, which contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 3791865 + ... + 3792615.

It is an arithmetic number, because the mean of its divisors is an integer number (41821728).

Almost surely, 2^2847972240 is an apocalyptic number.

2847972240 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 2847972240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5018607360).

2847972240 is an abundant number, since it is smaller than the sum of its proper divisors (7189242480).

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

2847972240 is a wasteful number, since it uses less digits than its factorization.

2847972240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2847972240 is about 53366.3961683755. The cubic root of 2847972240 is about 1417.4636068407.

The spelling of 2847972240 in words is "two billion, eight hundred forty-seven million, nine hundred seventy-two thousand, two hundred forty".