2887654468608 has 660 divisors, whose sum is σ = 10671723192240. Its totient is φ = 761553321984.

The previous prime is 2887654468561. The next prime is 2887654468649. The reversal of 2887654468608 is 8068644567882.

2887654468608 is a `hidden beast` number, since 2 + 8 + 8 + 7 + 6 + 5 + 4 + 4 + 6 + 8 + 608 = 666.

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 59 ways as a sum of consecutive naturals, for example, 98108038 + ... + 98137466.

It is an arithmetic number, because the mean of its divisors is an integer number (16169277564).

Almost surely, 2^{2887654468608} is an apocalyptic number.

2887654468608 is a gapful number since it is divisible by the number (28) 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 2887654468608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5335861596120).

2887654468608 is an abundant number, since it is smaller than the sum of its proper divisors (7784068723632).

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

2887654468608 is a wasteful number, since it uses less digits than its factorization.

2887654468608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29494 (or 29454 counting only the distinct ones).

The product of its (nonzero) digits is 990904320, while the sum is 72.

The spelling of 2887654468608 in words is "two trillion, eight hundred eighty-seven billion, six hundred fifty-four million, four hundred sixty-eight thousand, six hundred eight".