2687883264000 has 1440 divisors, whose sum is σ = 10985226400512. Its totient is φ = 650280960000.

The previous prime is 2687883263993. The next prime is 2687883264037. The reversal of 2687883264000 is 4623887862.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5474303755 + ... + 5474304245.

Almost surely, 2^{2687883264000} is an apocalyptic number.

2687883264000 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 2687883264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5492613200256).

2687883264000 is an abundant number, since it is smaller than the sum of its proper divisors (8297343136512).

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

2687883264000 is an frugal number, since it uses more digits than its factorization.

2687883264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 2687883264000 in words is "two trillion, six hundred eighty-seven billion, eight hundred eighty-three million, two hundred sixty-four thousand".