2012068178640 has 480 divisors, whose sum is σ = 7418931470496. Its totient is φ = 485666979840.

The previous prime is 2012068178581. The next prime is 2012068178669. The reversal of 2012068178640 is 468718602102.

It can be written as a sum of positive squares in 16 ways, for example, as 1125856812096 + 886211366544 = 1061064^2 + 941388^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 192408292 + ... + 192418748.

Almost surely, 2^{2012068178640} is an apocalyptic number.

2012068178640 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 2012068178640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709465735248).

2012068178640 is an abundant number, since it is smaller than the sum of its proper divisors (5406863291856).

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

2012068178640 is a wasteful number, since it uses less digits than its factorization.

2012068178640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10887 (or 10878 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 2012068178640 in words is "two trillion, twelve billion, sixty-eight million, one hundred seventy-eight thousand, six hundred forty".