2612314067000 has 128 divisors (see below), whose sum is σ = 6703444500480. Its totient is φ = 944958160000.

The previous prime is 2612314066987. The next prime is 2612314067021. The reversal of 2612314067000 is 7604132162.

It is a congruent number.

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, 1479317 + ... + 2722683.

It is an arithmetic number, because the mean of its divisors is an integer number (52370660160).

Almost surely, 2^{2612314067000} is an apocalyptic number.

2612314067000 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 2612314067000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351722250240).

2612314067000 is an abundant number, since it is smaller than the sum of its proper divisors (4091130433480).

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

2612314067000 is a wasteful number, since it uses less digits than its factorization.

2612314067000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243590 (or 1243576 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

Adding to 2612314067000 its reverse (7604132162), we get a palindrome (2619918199162).

The spelling of 2612314067000 in words is "two trillion, six hundred twelve billion, three hundred fourteen million, sixty-seven thousand".