2878558974720 has 1440 divisors, whose sum is σ = 12493051490304. Its totient is φ = 623274393600.

The previous prime is 2878558974719. The next prime is 2878558974749. The reversal of 2878558974720 is 274798558782.

2878558974720 is a `hidden beast` number, since 2 + 8 + 7 + 8 + 558 + 9 + 7 + 47 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×2878558974720² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 459610309 + ... + 459616571.

Almost surely, 2^{2878558974720} is an apocalyptic number.

2878558974720 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 2878558974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6246525745152).

2878558974720 is an abundant number, since it is smaller than the sum of its proper divisors (9614492515584).

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

2878558974720 is a wasteful number, since it uses less digits than its factorization.

2878558974720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6351 (or 6328 counting only the distinct ones).

The product of its (nonzero) digits is 632217600, while the sum is 72.

The spelling of 2878558974720 in words is "two trillion, eight hundred seventy-eight billion, five hundred fifty-eight million, nine hundred seventy-four thousand, seven hundred twenty".