2600946832320 has 560 divisors, whose sum is σ = 9567150962688. Its totient is φ = 670040709120.

The previous prime is 2600946832283. The next prime is 2600946832327. The reversal of 2600946832320 is 232386490062.

It is a happy number.

2600946832320 is a `hidden beast` number, since 2 + 600 + 9 + 4 + 6 + 8 + 3 + 2 + 32 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2600946832327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 519874939 + ... + 519879941.

Almost surely, 2^{2600946832320} is an apocalyptic number.

2600946832320 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 2600946832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4783575481344).

2600946832320 is an abundant number, since it is smaller than the sum of its proper divisors (6966204130368).

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

2600946832320 is a wasteful number, since it uses less digits than its factorization.

2600946832320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5710 (or 5691 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 2600946832320 in words is "two trillion, six hundred billion, nine hundred forty-six million, eight hundred thirty-two thousand, three hundred twenty".