2879541120 has 256 divisors, whose sum is σ = 9655303680. Its totient is φ = 728555520.

The previous prime is 2879541103. The next prime is 2879541121. The reversal of 2879541120 is 211459782.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2879541121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8699355 + ... + 8699685.

It is an arithmetic number, because the mean of its divisors is an integer number (37716030).

Almost surely, 2^2879541120 is an apocalyptic number.

2879541120 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 2879541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4827651840).

2879541120 is an abundant number, since it is smaller than the sum of its proper divisors (6775762560).

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

2879541120 is a wasteful number, since it uses less digits than its factorization.

2879541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 2879541120 is about 53661.3559277065. The cubic root of 2879541120 is about 1422.6817535602.

The spelling of 2879541120 in words is "two billion, eight hundred seventy-nine million, five hundred forty-one thousand, one hundred twenty".