2879073624 has 128 divisors (see below), whose sum is σ = 8745200640. Its totient is φ = 771059712.

The previous prime is 2879073601. The next prime is 2879073661. The reversal of 2879073624 is 4263709782.

2879073624 = 212² + 213² + ... + 2052².

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749212 + ... + 753044.

It is an arithmetic number, because the mean of its divisors is an integer number (68321880).

Almost surely, 2^2879073624 is an apocalyptic number.

2879073624 is a gapful number since it is divisible by the number (24) 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 2879073624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372600320).

2879073624 is an abundant number, since it is smaller than the sum of its proper divisors (5866127016).

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

2879073624 is a wasteful number, since it uses less digits than its factorization.

2879073624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4129 (or 4125 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 2879073624 is about 53656.9997670388. Note that the first 3 decimals coincide. The cubic root of 2879073624 is about 1422.6047581874.

The spelling of 2879073624 in words is "two billion, eight hundred seventy-nine million, seventy-three thousand, six hundred twenty-four".