2873046240 has 768 divisors, whose sum is σ = 11757312000. Its totient is φ = 650280960.

The previous prime is 2873046217. The next prime is 2873046271. The reversal of 2873046240 is 426403782.

2873046240 is a `hidden beast` number, since 28 + 7 + 3 + 0 + 4 + 624 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2873046195 and 2873046204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40465405 + ... + 40465475.

It is an arithmetic number, because the mean of its divisors is an integer number (15309000).

Almost surely, 2^2873046240 is an apocalyptic number.

2873046240 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 2873046240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5878656000).

2873046240 is an abundant number, since it is smaller than the sum of its proper divisors (8884265760).

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

2873046240 is a wasteful number, since it uses less digits than its factorization.

2873046240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2873046240 is about 53600.8044715749. The cubic root of 2873046240 is about 1421.6113164394.

The spelling of 2873046240 in words is "two billion, eight hundred seventy-three million, forty-six thousand, two hundred forty".