2879424240 has 240 divisors, whose sum is σ = 11328024960. Its totient is φ = 598295040.

The previous prime is 2879424221. The next prime is 2879424269. The reversal of 2879424240 is 424249782.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2879424192 and 2879424201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118231 + ... + 140489.

It is an arithmetic number, because the mean of its divisors is an integer number (47200104).

Almost surely, 2^2879424240 is an apocalyptic number.

2879424240 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 2879424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5664012480).

2879424240 is an abundant number, since it is smaller than the sum of its proper divisors (8448600720).

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

2879424240 is a wasteful number, since it uses less digits than its factorization.

2879424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22300 (or 22287 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 2879424240 is about 53660.2668647855. The cubic root of 2879424240 is about 1422.6625045101.

The spelling of 2879424240 in words is "two billion, eight hundred seventy-nine million, four hundred twenty-four thousand, two hundred forty".