2879222456 has 64 divisors (see below), whose sum is σ = 6316444800. Its totient is φ = 1216425600.

The previous prime is 2879222431. The next prime is 2879222471. The reversal of 2879222456 is 6542229782.

It is a super-2 number, since 2×2879222456² = 16579843902269343872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2879222456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72371 + ... + 104861.

It is an arithmetic number, because the mean of its divisors is an integer number (98694450).

Almost surely, 2^2879222456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2879222456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158222400).

2879222456 is an abundant number, since it is smaller than the sum of its proper divisors (3437222344).

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

2879222456 is a wasteful number, since it uses less digits than its factorization.

2879222456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32580 (or 32576 counting only the distinct ones).

The product of its digits is 967680, while the sum is 47.

The square root of 2879222456 is about 53658.3866324734. The cubic root of 2879222456 is about 1422.6292713342.

The spelling of 2879222456 in words is "two billion, eight hundred seventy-nine million, two hundred twenty-two thousand, four hundred fifty-six".