2879242240 has 120 divisors (see below), whose sum is σ = 7898681952. Its totient is φ = 986972160.

The previous prime is 2879242229. The next prime is 2879242253. The reversal of 2879242240 is 422429782.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2879242193 and 2879242202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 570930 + ... + 575950.

Almost surely, 2^2879242240 is an apocalyptic number.

2879242240 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 2879242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3949340976).

2879242240 is an abundant number, since it is smaller than the sum of its proper divisors (5019439712).

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

2879242240 is an frugal number, since it uses more digits than its factorization.

2879242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5061 (or 5035 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 2879242240 is about 53658.5709835810. The cubic root of 2879242240 is about 1422.6325297641.

The spelling of 2879242240 in words is "two billion, eight hundred seventy-nine million, two hundred forty-two thousand, two hundred forty".