2687214860064 has 288 divisors, whose sum is σ = 9343818207360. Its totient is φ = 715441766400.

The previous prime is 2687214860047. The next prime is 2687214860081. The reversal of 2687214860064 is 4600684127862.

It is a happy number.

2687214860064 is a `hidden beast` number, since 2 + 6 + 8 + 7 + 21 + 4 + 8 + 600 + 6 + 4 = 666.

2687214860064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2687214860047) and next prime (2687214860081).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2687214860064² (a number of 26 digits) contains 22 as substring.

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, 1761504 + ... + 2911584.

It is an arithmetic number, because the mean of its divisors is an integer number (32443813220).

Almost surely, 2^{2687214860064} is an apocalyptic number.

2687214860064 is a gapful number since it is divisible by the number (24) 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 2687214860064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671909103680).

2687214860064 is an abundant number, since it is smaller than the sum of its proper divisors (6656603347296).

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

2687214860064 is a wasteful number, since it uses less digits than its factorization.

2687214860064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150184 (or 1150173 counting only the distinct ones).

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

It can be divided in two parts, 26872 and 14860064, that added together give a cube (14886936 = 246³).

The spelling of 2687214860064 in words is "two trillion, six hundred eighty-seven billion, two hundred fourteen million, eight hundred sixty thousand, sixty-four".