2877279874560 has 2880 divisors, whose sum is σ = 13286298497472. Its totient is φ = 591272607744.

The previous prime is 2877279874531. The next prime is 2877279874577. The reversal of 2877279874560 is 654789727782.

It is a happy number.

2877279874560 is a `hidden beast` number, since 2 + 8 + 77 + 27 + 9 + 87 + 456 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21002042812 + ... + 21002042948.

Almost surely, 2^{2877279874560} is an apocalyptic number.

2877279874560 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 2877279874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6643149248736).

2877279874560 is an abundant number, since it is smaller than the sum of its proper divisors (10409018622912).

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

2877279874560 is a wasteful number, since it uses less digits than its factorization.

2877279874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 663828480, while the sum is 72.

The spelling of 2877279874560 in words is "two trillion, eight hundred seventy-seven billion, two hundred seventy-nine million, eight hundred seventy-four thousand, five hundred sixty".