2841457920 has 288 divisors, whose sum is σ = 10655355648. Its totient is φ = 631701504.

The previous prime is 2841457907. The next prime is 2841457937. The reversal of 2841457920 is 297541482.

It is a super-3 number, since 3×2841457920³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 993132 + ... + 995988.

Almost surely, 2^2841457920 is an apocalyptic number.

2841457920 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 2841457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5327677824).

2841457920 is an abundant number, since it is smaller than the sum of its proper divisors (7813897728).

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

2841457920 is a wasteful number, since it uses less digits than its factorization.

2841457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 2841457920 is about 53305.3273135059. The cubic root of 2841457920 is about 1416.3820348735.

The spelling of 2841457920 in words is "two billion, eight hundred forty-one million, four hundred fifty-seven thousand, nine hundred twenty".