2667040000000 has 384 divisors, whose sum is σ = 6782326387200. Its totient is φ = 1048320000000.

The previous prime is 2667039999991. The next prime is 2667040000013. The reversal of 2667040000000 is 407662.

It is a super-2 number, since 2×2667040000000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 2667040000000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12639999895 + ... + 12640000105.

It is an arithmetic number, because the mean of its divisors is an integer number (17662308300).

Almost surely, 2^{2667040000000} is an apocalyptic number.

2667040000000 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 2667040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391163193600).

2667040000000 is an abundant number, since it is smaller than the sum of its proper divisors (4115286387200).

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

2667040000000 is an frugal number, since it uses more digits than its factorization.

2667040000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

Adding to 2667040000000 its reverse (407662), we get a palindrome (2667040407662).

The spelling of 2667040000000 in words is "two trillion, six hundred sixty-seven billion, forty million", and thus it is an aban number.