2600906674080 has 1536 divisors, whose sum is σ = 10431217843200. Its totient is φ = 542758993920.

The previous prime is 2600906674013. The next prime is 2600906674117. The reversal of 2600906674080 is 804766090062.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23861529066 + ... + 23861529174.

It is an arithmetic number, because the mean of its divisors is an integer number (6791157450).

Almost surely, 2^{2600906674080} is an apocalyptic number.

2600906674080 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 2600906674080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5215608921600).

2600906674080 is an abundant number, since it is smaller than the sum of its proper divisors (7830311169120).

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

2600906674080 is a wasteful number, since it uses less digits than its factorization.

2600906674080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 2600906674080 in words is "two trillion, six hundred billion, nine hundred six million, six hundred seventy-four thousand, eighty".