2879226000 has 400 divisors, whose sum is σ = 11890369920. Its totient is φ = 657849600.

The previous prime is 2879225989. The next prime is 2879226001. The reversal of 2879226000 is 6229782.

2879226000 is a `hidden beast` number, since 28 + 7 + 9 + 22 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2879226001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1132731 + ... + 1135269.

Almost surely, 2^2879226000 is an apocalyptic number.

2879226000 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 2879226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5945184960).

2879226000 is an abundant number, since it is smaller than the sum of its proper divisors (9011143920).

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

2879226000 is a wasteful number, since it uses less digits than its factorization.

2879226000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2879226000 is about 53658.4196561919. The cubic root of 2879226000 is about 1422.6298550330.

The spelling of 2879226000 in words is "two billion, eight hundred seventy-nine million, two hundred twenty-six thousand".