2878999732224 has 2688 divisors, whose sum is σ = 12048661094400. Its totient is φ = 668860416000.

The previous prime is 2878999732207. The next prime is 2878999732237. The reversal of 2878999732224 is 4222379998782.

2878999732224 is a `hidden beast` number, since 287 + 8 + 9 + 9 + 97 + 32 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70219505644 + ... + 70219505684.

It is an arithmetic number, because the mean of its divisors is an integer number (4482388800).

Almost surely, 2^{2878999732224} is an apocalyptic number.

2878999732224 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 2878999732224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6024330547200).

2878999732224 is an abundant number, since it is smaller than the sum of its proper divisors (9169661362176).

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

2878999732224 is a wasteful number, since it uses less digits than its factorization.

2878999732224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 114 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 72.

The spelling of 2878999732224 in words is "two trillion, eight hundred seventy-eight billion, nine hundred ninety-nine million, seven hundred thirty-two thousand, two hundred twenty-four".