2634016000000 has 672 divisors, whose sum is σ = 8215488590400. Its totient is φ = 820224000000.

The previous prime is 2634015999973. The next prime is 2634016000039. The reversal of 2634016000000 is 6104362.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2463999466 + ... + 2464000534.

It is an arithmetic number, because the mean of its divisors is an integer number (12225429450).

Almost surely, 2^{2634016000000} is an apocalyptic number.

2634016000000 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 2634016000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107744295200).

2634016000000 is an abundant number, since it is smaller than the sum of its proper divisors (5581472590400).

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

2634016000000 is an frugal number, since it uses more digits than its factorization.

2634016000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The spelling of 2634016000000 in words is "two trillion, six hundred thirty-four billion, sixteen million", and thus it is an aban number.