2687783494032 has 960 divisors, whose sum is σ = 10051702483200. Its totient is φ = 689495804928.

The previous prime is 2687783494031. The next prime is 2687783494093. The reversal of 2687783494032 is 2304943877862.

2687783494032 is a `hidden beast` number, since 2 + 68 + 7 + 7 + 83 + 494 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×2687783494032² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2687783494031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 824724819 + ... + 824728077.

It is an arithmetic number, because the mean of its divisors is an integer number (10470523420).

Almost surely, 2^{2687783494032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2687783494032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5025851241600).

2687783494032 is an abundant number, since it is smaller than the sum of its proper divisors (7363918989168).

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

2687783494032 is a wasteful number, since it uses less digits than its factorization.

2687783494032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352 (or 3321 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 2687783494032 in words is "two trillion, six hundred eighty-seven billion, seven hundred eighty-three million, four hundred ninety-four thousand, thirty-two".