2687204553600 has 384 divisors, whose sum is σ = 10122196423680. Its totient is φ = 613805875200.

The previous prime is 2687204553559. The next prime is 2687204553653. The reversal of 2687204553600 is 63554027862.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2687204553600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106364970 + ... + 106390230.

It is an arithmetic number, because the mean of its divisors is an integer number (26359886520).

Almost surely, 2^{2687204553600} is an apocalyptic number.

2687204553600 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 2687204553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061098211840).

2687204553600 is an abundant number, since it is smaller than the sum of its proper divisors (7434991870080).

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

2687204553600 is a wasteful number, since it uses less digits than its factorization.

2687204553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26878 (or 26861 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 2687204553600 in words is "two trillion, six hundred eighty-seven billion, two hundred four million, five hundred fifty-three thousand, six hundred".