2600451060480 has 2880 divisors, whose sum is σ = 12540917587968. Its totient is φ = 498778767360.

The previous prime is 2600451060457. The next prime is 2600451060481. The reversal of 2600451060480 is 840601540062.

2600451060480 is a `hidden beast` number, since 2 + 6 + 0 + 0 + 4 + 510 + 60 + 4 + 80 = 666.

2600451060480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2600451060481) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4972181499 + ... + 4972182021.

Almost surely, 2^{2600451060480} is an apocalyptic number.

2600451060480 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 2600451060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6270458793984).

2600451060480 is an abundant number, since it is smaller than the sum of its proper divisors (9940466527488).

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

2600451060480 is a wasteful number, since it uses less digits than its factorization.

2600451060480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 2600451060480 in words is "two trillion, six hundred billion, four hundred fifty-one million, sixty thousand, four hundred eighty".